Calculating Maximum Change [solutions & discussion]

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Maximum change problem - Solutions, Discussion & Video

Last Friday, we had a fun little Excel challenge – Calculate Maximum Change. More than 170 people commented and shared their solutions to this problem.

And the best part?

The best part is the variety of solutions & thinking displayed by our community. So if you are one of those 170, puff your chest & pat yourself on the back. Go ahead, I will wait.

Today, lets take a look at some of these awesome formulas and understand how they work. Read on and watch the video you below to gain few awesomeness pounds.

First, lets understand the problem

Here is a look at the problem:

Calculate maximum change - formula problem

We need more information to answer this question.

  • Are we talking about positive change, negative change or absolute change?
  • Are we talking about % change or value change?

In the original problem, even though I did not mention it, most people assumed that we want absolute change of value (ie the answer is 40, for Product 2).

But in real life, you may want to understand the problem a little more before writing any formulas.

Note: The data is in C3:C8 for last month and D3:D8 for this month.

Solution #1: Using MAX array formula

This is the solution most people got.

The array formula:

=MAX(C3:C8-D3:D8)

press CTRL+Shift+Enter after typing.

How it works?

C3:C8-D3:D8 portion:  This gives the result {-20;40;15;21;0;-25} in array form.MAX(…) portion: This simply calculates the maximum value of above array and returns 40 as answer.

Why press CTRL+Shift+Enter (CSE)?

We need to press CTRL+Shift+Enter because MAX() is not capable of handling arrays. If you write MAX({-20;40;15;21;0;-25}) you would get 40, but the same array when calculated by doing math on ranges will not work. To force MAX to treat arrays, we need to press CTRL+Shift+Enter.

Solution #2: Using MAX+ABS array formula

Quite a few people figured out that the formula needs to work even when the change is negative. And that is where this new solution comes handy.

The array formula:

=MAX(ABS(C3:C8-D3:D8))

press CTRL+Shift+Enter after typing.

How it works?

ABS() portion: converts the change values {-20;40;15;21;0;-25} to positive {20;40;15;21;0;25}

Rest of the formula is same as solution #1.

Solution #3: Using INDEX to avoid Ctrl+Shift+Enter

The thing with Ctrl+Shift+Enter is that you have to remember it. If you accidentally press Enter instead of CSE, the formula stops working. One way to avoid this is to route the calculation thru an Excel function that can natively process arrays. This is where INDEX (or SUMPRODUCT etc.) come handy.

The formula:

=MAX(INDEX(C3:C8-D3:D8,0))

or

=MAX(INDEX(ABS(C3:C8-D3:D8),0))

How it works?

Same as Solution #1, except for this formula you do not have to press Ctrl+Shift+Enter. The INDEX will automatically calculate the array and send numbers to MAX. Then MAX feels mighty comfortable dealing with those numbers and spits out the answer as 40.

Learn more:

Solution #4: Using AGGREGATE

AGGREGATE() is a new function introduced in Excel 2010. This too, like INDEX & SUMPRODUCT can process arrays natively (provided you are using one of the aggregates like LARGE). Kyle, one of our commenters shared 2 brilliant solutions that involve AGGREGATE.

The formula:

=AGGREGATE(14,4,(C3:C8)-(D3:D8),1)

How it works?

14, 4 portion: This tells AGGREGATE that you want to calculate LARGE value (14) and you want to consider all cells (4). To understand more about AGGREGATE see the links below.

(C3:C8)-(D3:D8) portion: As seen above, this just gives an array – {-20;40;15;21;0;-25}

1 portion: This tells AGGREGATE that you want 1st largest number.

Learn more:

Solution #5: Using MMULT and AGGREGATE

Now this is what I call a scary formula. It can potentially waste your entire afternoon when you try to understand it first time. But once you get it, you feel awesome. This too is posted by Kyle.

The formula:

=AGGREGATE(14,4,MMULT(C3:D8,{1;-1}),1)

How it works?

Watch the video. Explaining how this works in text is difficult.

Learn more:

I am still trying to understand MMULT(). It can be as complex and deep as string theory (or recipe of making bread at home). Go thru below links to learn more about it. Make sure you put on your helmet, cause it will blow your mind.

More ways to get maximum change + Bonus problem

Watch below video to understand how to solve the maximum change problem and another related problem.

Click here to watch if you can’t see the video above

Download Answer workbook

Click here to download answer workbook and examine the formulas to learn more.

What did you learn from this formula challenge?

I learned how to use AGGREGATE, Array SUMIFS and got a better handle on MMULT.

What about you? What did you learn thru this challenge. Please comment and let us all know.

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31 Responses to “Beautiful Budget vs. Actual chart to make your boss love you”

  1. Harry says:

    Would be considerably easier just to have a table with the variance shown.

  2. Jomili says:

    On Step 3, how do you "Add budget and actual values to the chart again"?

    • Chandoo says:

      There are a few ways to do it.

      Easy:
      1) Copy just the numbers from both columns (Select, CTRL+C)
      2) Select the chart and hit CTRL+V to paste. This adds them to chart.

      Traditional:
      1) Right click on chart and go to "select data..."
      2) From the dialog, click on "Add" button and add one series at a time.

      • Neeraj Agarwal says:

        One more way to accomplish it is just select the columns into chart. Press Ctrl+C and then press Ctrl+V

        Regards
        Neeraj Kumar Agarwal

  3. TheQ47 says:

    Unfortunately, this doesn't seem to work for me in Excel 2010. The "Var 1" and "Var 2" columns cannot combine two fonts to display the symbol and the figure side-by-side.
    Secondly, there is no option to Click on “Value from cells” option when formatting the label options. The only options provided are Series Name, Category Name or Value.

    • Chandoo says:

      @TheQ47... the emoji font also has normal English letters, so if you use that font, then you should be ok. I am assuming your computer doesn't have that font or hasn't been upgraded for emoji support.
      Reg. Excel 2010, you can manually link each label to a cell value. Just select one label at a time (click on labels, wait a second, click on an individual label) and press = and link it to the label var 1 or var 2.

  4. Neeraj Agarwal says:

    I am using excel 2010, please explain how to apply Step 12

    Regards
    Neeraj Kumar Agarwal

  5. mariann says:

    Hi Chandoo,

    I just found your website, and really love it. It helps me a lot to be an Excel expert 😉

    Currently I am facing with a problem at step 11:
    Var1 Var2
    D30%
    A5%
    B0%
    B4%
    B7%
    C10%
    C13%
    D27%
    I42%

    Though at mapping table, I used windings, here formula uses calibra. How I can change it? I am able to change only the whole cell. In this case numbers will be Windings too.

    Thanks for your help!

    • Chandoo says:

      Hi Mariann... Welcome to Chandoo.org and thanks for your comment.

      If you wanted to use symbols from wingdings and combine them with % numbers, then you need to setup two labels. One with symbol, in wingdings font and another with value in normal font. Just add the same series again to the chart, make it invisible, add labels. You may need to adjust the alignment / position of label so everything is visible.

  6. […] firs article explains how you can enhance your charts with symbols. You can simply insert any supported symbol into your data and charts. To some extend you can […]

  7. Franciele says:

    You're a good person, thank you to share your knowledge with us, I will try to do in my work

  8. Ali says:

    Great visualization of variance. My question is that is this possible in powerbi?

    How would you go about it?

  9. NARUTO says:

    HELLO, WHY CANT I FIND VALUES FOR LABELS IN EXCEL 2013

  10. Amol says:

    Dear chanddo sir,

    What to do if we have dynamic range for Chart. How this will work. can you able to make the same thing works on dynamic range.

  11. Ricardo says:

    Sir Chandoo,

    Good Day!
    First, I'd like to say that I am very grateful for your work and for sharing all these things with us.

    I tried to do this chart but it seems that the symbols don't work with text (abs(var%),"0%") unless we keep the Windings font style.
    The problem is, it converts the text into symbol as well and you wont see the 0% anymore. I'm using Windows 7.

  12. MF says:

    WOW - Segoe UI Emoji
    This is the greatest discovery for me this month 🙂 Thanks for sharing.

    Here's my two-cents:
    https://wmfexcel.com/2019/02/17/a-compelling-chart-in-three-minutes/

  13. Renuka says:

    Sir This is awesome chart, and very easy to made because of your way to explain is very simple , everyone can do. Thank you

    one problem i am facing, I hv made this chart , but when i am inserting data table to chart it is showing two times , how can i resolve this

  14. renuka says:

    in this chart when i am adding new month data for example first i made this chart jan to mar but when i add data for the apr month graphs updated automatically but labels are missing for that new month

    • Chandoo says:

      Hi Renuka,

      Please make sure the formulas for labels are also calculated for extra months. Just drag down the series and set label range to appropriate address.

  15. Justine says:

    So I am playing with the Actual chart here - but amounts are bigger than your - you have 600 as Budget - my budget is 104,000 - is there a way to shorten that I am unaware of

    thank you - I LOVE YOUR SITE

  16. Arvind says:

    Thanks for the tips and tricks on Excel. In the Planned versus Actual chart examples, you use multiple values (ex. multiple Categories in above). How can this be done when we have only 1 set of values? For example if I have only this:
    Planned Actual
    SOW Budget 417480 367551

    How can I create a single bar chart like the one above?

  17. JEREMIAH KOOL says:

    Thank you Chandoo.
    This one is just perfect for my Quarterly Review presentation on Operational Budget against Actual Performance for the Hospital I'm currently working with.

    Just Subscribed today (10 minutes ago)

  18. Shawn says:

    Is there a way to make the table of data into a pivot table to be able to add a slicer for the graph due to many different categories and months?

  19. Mihail says:

    Hi, I tried to modify you template with something appropriate for me, and I found a problem. this template was modified by me started with excel 2010, then 2016 and finally 2019. Same thing - somehow appear an error - or didn't show the emoticons for positive percentage or doubled the emoticons for some rows. I suspect to be from excel. if is need it I can sand you my xlsx for study. Please help if you can.

  20. Saidatta Pati says:

    Hi Chandoo,
    Could you please check the Var Formula in Step1. You have mentioned budget-actual and when i did this i got different values but when reversed like actual-budget i got the actual value what you have demonstrated in step1.
    Please share your view.

  21. Dan says:

    This is a great chart (budget vs. actual). However, in trying recreate it, I cannot color in the UP Down bars individually, and they all become formatted with the same color. I'm using Office 365. Look forward to the feedback.

    Thanks.
    Dan

  22. sathik says:

    pls explain in detail step 7

  23. Arun says:

    While in the Excel sheet you have used following formula for Var
    Var = Actual - Budget
    But
    in the note, you have written
    Var = Budget - Actual

  24. aye myat maw says:

    Good Presentation and Data information.thank you so much chandoo.

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