Percentage, Base, Rate worksheet - Free Printable

Let's solve each problem step by step using the percentage formula:

$$
P = B \times R
$$

Where:
- $ P $ = Percentage (the part)
- $ B $ = Base (the whole)
- $ R $ = Rate (percent, expressed as a decimal)

We can rearrange this formula depending on what we're solving for:
- $ P = B \times R $
- $ R = \frac{P}{B} $
- $ B = \frac{P}{R} $

Remember: Convert percentages to decimals by dividing by 100.
For example: 18% = 0.18, 20% = 0.20, etc.

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1. R = 18%, B = 27 → Find P

$$
P = B \times R = 27 \times 0.18 = 4.86
$$
✔ P = 4.86

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2. B = 50, P = 25 → Find R

$$
R = \frac{P}{B} = \frac{25}{50} = 0.5 = 50\%
$$
✔ R = 50%

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3. P = 2,450, R = 20% → Find B

$$
B = \frac{P}{R} = \frac{2450}{0.20} = 12,250
$$
✔ B = 12,250

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4. R = 3%, B = 345 → Find P

$$
P = B \times R = 345 \times 0.03 = 10.35
$$
✔ P = 10.35

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5. B = 80, P = 20 → Find R

$$
R = \frac{P}{B} = \frac{20}{80} = 0.25 = 25\%
$$
✔ R = 25%

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6. R = 25%, P = 8 → Find B

$$
B = \frac{P}{R} = \frac{8}{0.25} = 32
$$
✔ B = 32

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7. P = 18, B = 90 → Find R

$$
R = \frac{P}{B} = \frac{18}{90} = 0.2 = 20\%
$$
✔ R = 20%

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8. B = 22, R = 50% → Find P

$$
P = B \times R = 22 \times 0.50 = 11
$$
✔ P = 11

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9. R = 40%, B = 200 → Find P

$$
P = B \times R = 200 \times 0.40 = 80
$$
✔ P = 80

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10. R = 80%, P = 16 → Find B

$$
B = \frac{P}{R} = \frac{16}{0.80} = 20
$$
✔ B = 20

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. P = ? | 4.86 |
| 2. R = ? | 50% |
| 3. B = ? | 12,250 |
| 4. P = ? | 10.35 |
| 5. R = ? | 25% |
| 6. B = ? | 32 |
| 7. R = ? | 20% |
| 8. P = ? | 11 |
| 9. P = ? | 80 |
| 10. B = ? | 20 |

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