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

Worksheet titled "Percentage Increase/Decrease (A)" with 10 problems showing original and new amounts, arrows indicating increase or decrease, and a column for percentage change.

Worksheet titled "Percentage Increase/Decrease (A)" with 10 problems showing original and new amounts, arrows indicating increase or decrease, and a column for percentage change.

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Show Answer Key & Explanations Step-by-step solution for: Percentage Increase or Decrease of Whole Numbers with 5 Percent ...
Let's solve each problem step by step.

We are asked to calculate the percentage increase or decrease from an original amount to a new amount.

Formula:


$$
\text{Percentage Change} = \left( \frac{\text{New Amount} - \text{Original Amount}}{\text{Original Amount}} \right) \times 100\%
$$

- If the result is positive, it's a percentage increase.
- If the result is negative, it's a percentage decrease.

---

Let’s go through each row:

---

1. Original: 990 → New: 396


Change: $ 396 - 990 = -594 $ (decrease)
$$
\frac{-594}{990} \times 100\% = -0.6 \times 100\% = -60\%
$$
60% decrease

---

2. Original: 830 → New: 249


Change: $ 249 - 830 = -581 $
$$
\frac{-581}{830} \times 100\% \approx -0.70 \times 100\% = -70\%
$$
70% decrease

---

3. Original: 980 → New: 147


Change: $ 147 - 980 = -833 $
$$
\frac{-833}{980} \times 100\% \approx -0.8499 \times 100\% \approx -85\%
$$
85% decrease

---

4. Original: 165 → New: 33


Change: $ 33 - 165 = -132 $
$$
\frac{-132}{165} \times 100\% = -0.8 \times 100\% = -80\%
$$
80% decrease

---

5. Original: 640 → New: 512


Change: $ 512 - 640 = -128 $
$$
\frac{-128}{640} \times 100\% = -0.2 \times 100\% = -20\%
$$
20% decrease

---

6. Original: 520 → New: 598


Change: $ 598 - 520 = 78 $ (increase)
$$
\frac{78}{520} \times 100\% = 0.15 \times 100\% = 15\%
$$
15% increase

---

7. Original: 520 → New: 546


Change: $ 546 - 520 = 26 $
$$
\frac{26}{520} \times 100\% = 0.05 \times 100\% = 5\%
$$
5% increase

---

8. Original: 930 → New: 1023


Change: $ 1023 - 930 = 93 $
$$
\frac{93}{930} \times 100\% = 0.1 \times 100\% = 10\%
$$
10% increase

---

9. Original: 940 → New: 1551


Change: $ 1551 - 940 = 611 $
$$
\frac{611}{940} \times 100\% \approx 0.65 \times 100\% = 65\%
$$
65% increase

---

10. Original: 286 → New: 429


Change: $ 429 - 286 = 143 $
$$
\frac{143}{286} \times 100\% = 0.5 \times 100\% = 50\%
$$
50% increase

---

Final Answers Table:



| Original | New | Increase/Decrease | Percentage Change |
|--------|-----|-------------------|--------------------|
| 990 → 396 | ↓ | 60% decrease |
| 830 → 249 | ↓ | 70% decrease |
| 980 → 147 | ↓ | 85% decrease |
| 165 → 33 | ↓ | 80% decrease |
| 640 → 512 | ↓ | 20% decrease |
| 520 → 598 | ↑ | 15% increase |
| 520 → 546 | ↑ | 5% increase |
| 930 → 1023 | ↑ | 10% increase |
| 940 → 1551 | ↑ | 65% increase |
| 286 → 429 | ↑ | 50% increase |

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All calculations are complete and accurate.

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Parent Tip: Review the logic above to help your child master the concept of percent of change worksheet answers.
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