Calculate Percentage Increase and Decrease

Edited by Thor, Jen M, Dougie, Anonymous

Hello and welcome to VisiHow. In this video, I am going to show you how to work out increases and decreases in percentages. This means I am going to show you how to express increases in numbers or situations and express them as a percentage. So the best way to explain this is with an example. The example I have here is..we are going to read. The profit of Maximillion's Galactic Tofu Emporium rises from 451,000 in 2021 to 679,000 in 2022. Calculate the percentage increase in profit.

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Steps

  1. 1
    So the first thing we are going to do is find out what the actual profit is.
    As you can see, here is the new figure, current figure.
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  2. 2
    Here is the old figure.
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  3. 3
    So we are going to take away, going to take 451,000 away from 679,000.
    Here is the answer.
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  4. 4
    But we are going to do it on the calculator so you can see:
    679000
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  5. 5
    Minus
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  6. 6
    451000.
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  7. 7
    Equals 228,000.
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  8. 8
    So this is the percentage - this is sorry - this is the amount of profit that has been made.
    So we need to work out what this is in relation to the total. The best way to do this is to focus on this figure 451,000 because this is the previous year's figure. It does not include the profit. 679,000 is the new total and it includes the profit in it so it is not useful for us. What we need to do is work out what percentage the profit represents in relation to the previous amount before the profit is added to it. So to do that, we are going to take 451,000 as a 100%. It is the complete total. And I should say now there are two ways to work out this sum okay? The first way I am going to show you is to divide 451,000 by 100 because 451,000 is the total it is 100%.
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  9. 9
    So 451,000
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  10. 10
    Divided by
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  11. 11
    A 100 equals 4510.
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  12. 12
    So one percent..
    this equals one percent okay?
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  13. 13
    We need to find out how many one percent are in 228,000 so to do that, we are going to do 228,000 divided by 4510.
    The reason we are doing this is because 4510 equals one percent. If we know how many 4510s there are in 228,000, we know how many percent there is. How many percent it represents.
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  14. 14
    So we do this sum on the calculator:
    228,000
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  15. 15
    Divided by
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  16. 16
    4510 equals 50.5.
    Okay? 50.5.
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  17. 17
    50.5 percent
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  18. 18
    When it is a five in percentages..when it is a point five, we round up so depending on how technical you want it to be, you can say 51 percent or you can just say 50.5 percent if you do not want to round up and if you want to give the exact figure.
    So it represents 50.5 percent okay?
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  19. 19
    The second way to do this is to express percentages as fractions okay?
    This sounds confusing but don't be worried. To do this, we are going to still concentrate on 228,000 and 451,000 because they are the numbers we need to examine, but the way to do this is 228,000 divided by 451,000
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  20. 20
    The reason we do this is because we are going to express this as a fraction.
    So 451,000 is the total and 228,000 is a fraction of that. It is 228,000 parts of the total so if we divide them and times by a hundred we are going to express this as a fraction that is going to go to a decimal and then we are going to make it into a percentage by timing it by a hundred.
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  21. 21
    To do that, take the calculator.
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  22. 22
    228,000
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  23. 23
    Divide.
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  24. 24
    451,000 equals 0.5 okay?
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  25. 25
    So you are always going to use the total at the bottom and you are always going to use the smaller number on top.
    So you are always going to divide the smaller number. Always divide - sorry - the bigger number. You are always going to divide this number
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  26. 26
    By this number
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  27. 27
    Then you are going to times it by a hundred to make it..to turn it back..now it is a decimal, it is in decimals and we are going to turn it back into a percentage by timing it by a hundred.
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  28. 28
    Equals 50.5.
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  29. 29
    Okay.
    As you can see, we have got the same answer from two different methods so now I am going to set you a question to do and you can leave the answers in the comment section below okay? So we have: In March 2018, 33,560 people suffered severe allergic reactions to Gordon Ramsey yet in April and we should say 33,560 in Essex, England, suffered severe allergic reactions to Gordon Ramsey yet in April, 2018 the amount was only 1,567. Can you work out the percentage for the decrease in affected people? And perhaps more importantly, can you explain why this has occurred?
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  30. 30
    So there is the question.
    In March 2018, 33,560 people in Essex, England suffered severe allergic reactions to Gordon Ramsey, yet in April 2018 the amount was only 1,567. Can you work out the percentage of the decrease in the affected people? And more importantly, can you explain why this has happened? I suggest you focus mainly on the first part of that question. You can leave you answers in the comment section below and if you have any questions or perhaps any theories on why this has happened then please feel free to share them with all of us and perhaps we can share them with Gordon Ramsey himself. So you have been watching VisiHow. Goodbye.
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Categories : Communications & Education

Recent edits by: Dougie, Jen M, Thor

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