Math worksheet for calculating percentage increase or decrease between two values.

To find the percentage change, we follow these steps for each problem:

1. Find the difference: Subtract the smaller number from the larger number to see how much it changed.
* Formula: $| \text{New Amount} - \text{Original Amount} |$
2. Determine Increase or Decrease:
* If the New Amount is bigger than the Original, it is an Increase.
* If the New Amount is smaller than the Original, it is a Decrease.
3. Calculate the Percentage: Divide the difference by the Original Amount and multiply by 100.
* Formula: $(\text{Difference} / \text{Original Amount}) \times 100$

Let's solve them one by one.

1. Original: 600, New: 498
* Difference: $600 - 498 = 102$
* Direction: 498 is less than 600, so it is a Decrease.
* Percentage: $(102 / 600) \times 100 = 0.17 \times 100 = 17\%$
* Answer: Decrease of 17%

2. Original: 220, New: 253
* Difference: $253 - 220 = 33$
* Direction: 253 is more than 220, so it is an Increase.
* Percentage: $(33 / 220) \times 100 = 0.15 \times 100 = 15\%$
* Answer: Increase of 15%

3. Original: 500, New: 555
* Difference: $555 - 500 = 55$
* Direction: 555 is more than 500, so it is an Increase.
* Percentage: $(55 / 500) \times 100 = 0.11 \times 100 = 11\%$
* Answer: Increase of 11%

4. Original: 670, New: 603
* Difference: $670 - 603 = 67$
* Direction: 603 is less than 670, so it is a Decrease.
* Percentage: $(67 / 670) \times 100 = 0.10 \times 100 = 10\%$
* Answer: Decrease of 10%

5. Original: 300, New: 258
* Difference: $300 - 258 = 42$
* Direction: 258 is less than 300, so it is a Decrease.
* Percentage: $(42 / 300) \times 100 = 0.14 \times 100 = 14\%$
* Answer: Decrease of 14%

6. Original: 500, New: 435
* Difference: $500 - 435 = 65$
* Direction: 435 is less than 500, so it is a Decrease.
* Percentage: $(65 / 500) \times 100 = 0.13 \times 100 = 13\%$
* Answer: Decrease of 13%

7. Original: 600, New: 642
* Difference: $642 - 600 = 42$
* Direction: 642 is more than 600, so it is an Increase.
* Percentage: $(42 / 600) \times 100 = 0.07 \times 100 = 7\%$
* Answer: Increase of 7%

8. Original: 600, New: 618
* Difference: $618 - 600 = 18$
* Direction: 618 is more than 600, so it is an Increase.
* Percentage: $(18 / 600) \times 100 = 0.03 \times 100 = 3\%$
* Answer: Increase of 3%

9. Original: 675, New: 729
* Difference: $729 - 675 = 54$
* Direction: 729 is more than 675, so it is an Increase.
* Percentage: $(54 / 675) \times 100$. Let's simplify: $54 / 675 = 0.08$. So, $0.08 \times 100 = 8\%$
* Answer: Increase of 8%

10. Original: 935, New: 748
* Difference: $935 - 748 = 187$
* Direction: 748 is less than 935, so it is a Decrease.
* Percentage: $(187 / 935) \times 100$. Let's check: $187 \times 5 = 935$. So $187/935 = 1/5 = 0.20$. $0.20 \times 100 = 20\%$
* Answer: Decrease of 20%

Final Answer:
1. Decrease of 17%
2. Increase of 15%
3. Increase of 11%
4. Decrease of 10%
5. Decrease of 14%
6. Decrease of 13%
7. Increase of 7%
8. Increase of 3%
9. Increase of 8%
10. Decrease of 20%