Decrease a Number by a Percentage Worksheet (answers, examples) - Free Printable

To solve the problems on the "Percent Worksheet," we need to calculate the decrease of each number by the specified percentage. The general formula to decrease a number by a certain percentage is:

\[
\text{New Value} = \text{Original Value} - (\text{Original Value} \times \frac{\text{Percentage}}{100})
\]

Alternatively, you can use:

\[
\text{New Value} = \text{Original Value} \times (1 - \frac{\text{Percentage}}{100})
\]

Let's solve each problem step by step.

---

1. Decrease 46 by 5%

Using the formula:
\[
\text{New Value} = 46 \times (1 - \frac{5}{100}) = 46 \times (1 - 0.05) = 46 \times 0.95
\]
\[
46 \times 0.95 = 43.7
\]

Answer: 43.7

---

2. Decrease 73 by 10%

Using the formula:
\[
\text{New Value} = 73 \times (1 - \frac{10}{100}) = 73 \times (1 - 0.10) = 73 \times 0.90
\]
\[
73 \times 0.90 = 65.7
\]

Answer: 65.7

---

3. Decrease 10 by 10%

Using the formula:
\[
\text{New Value} = 10 \times (1 - \frac{10}{100}) = 10 \times (1 - 0.10) = 10 \times 0.90
\]
\[
10 \times 0.90 = 9
\]

Answer: 9

---

4. Decrease 25 by 20%

Using the formula:
\[
\text{New Value} = 25 \times (1 - \frac{20}{100}) = 25 \times (1 - 0.20) = 25 \times 0.80
\]
\[
25 \times 0.80 = 20
\]

Answer: 20

---

5. Decrease 100 by 75%

Using the formula:
\[
\text{New Value} = 100 \times (1 - \frac{75}{100}) = 100 \times (1 - 0.75) = 100 \times 0.25
\]
\[
100 \times 0.25 = 25
\]

Answer: 25

---

6. Decrease 43 by 25%

Using the formula:
\[
\text{New Value} = 43 \times (1 - \frac{25}{100}) = 43 \times (1 - 0.25) = 43 \times 0.75
\]
\[
43 \times 0.75 = 32.25
\]

Answer: 32.25

---

7. Decrease 38 by 50%

Using the formula:
\[
\text{New Value} = 38 \times (1 - \frac{50}{100}) = 38 \times (1 - 0.50) = 38 \times 0.50
\]
\[
38 \times 0.50 = 19
\]

Answer: 19

---

8. Decrease 19 by 25%

Using the formula:
\[
\text{New Value} = 19 \times (1 - \frac{25}{100}) = 19 \times (1 - 0.25) = 19 \times 0.75
\]
\[
19 \times 0.75 = 14.25
\]

Answer: 14.25

---

9. Decrease 54 by 5%

Using the formula:
\[
\text{New Value} = 54 \times (1 - \frac{5}{100}) = 54 \times (1 - 0.05) = 54 \times 0.95
\]
\[
54 \times 0.95 = 51.3
\]

Answer: 51.3

---

10. Decrease 78 by 50%

Using the formula:
\[
\text{New Value} = 78 \times (1 - \frac{50}{100}) = 78 \times (1 - 0.50) = 78 \times 0.50
\]
\[
78 \times 0.50 = 39
\]

Answer: 39

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
\text{Decrease 46 by 5\%:} & 43.7 \\
\text{Decrease 73 by 10\%:} & 65.7 \\
\text{Decrease 10 by 10\%:} & 9 \\
\text{Decrease 25 by 20\%:} & 20 \\
\text{Decrease 100 by 75\%:} & 25 \\
\text{Decrease 43 by 25\%:} & 32.25 \\
\text{Decrease 38 by 50\%:} & 19 \\
\text{Decrease 19 by 25\%:} & 14.25 \\
\text{Decrease 54 by 5\%:} & 51.3 \\
\text{Decrease 78 by 50\%:} & 39 \\
\end{array}
}
\]