Math worksheet for practicing percentage increase calculations.

To solve the problems in the "Percent Worksheet," we need to calculate the increased values by applying the given percentage increases to the original numbers. The general formula to increase a number by a certain percentage is:

\[
\text{New Value} = \text{Original Value} + (\text{Original Value} \times \text{Percentage Increase})
\]

Alternatively, this can be simplified as:

\[
\text{New Value} = \text{Original Value} \times (1 + \text{Percentage Increase})
\]

Where the percentage increase is expressed as a decimal.

Let's solve each problem step by step.

---

1. Increase 3 by 1%

- Original Value: 3
- Percentage Increase: 1% = 0.01

\[
\text{New Value} = 3 \times (1 + 0.01) = 3 \times 1.01 = 3.03
\]

Answer: 3.03

---

2. Increase 22 by 10%

- Original Value: 22
- Percentage Increase: 10% = 0.10

\[
\text{New Value} = 22 \times (1 + 0.10) = 22 \times 1.10 = 24.2
\]

Answer: 24.2

---

3. Increase 85 by 5%

- Original Value: 85
- Percentage Increase: 5% = 0.05

\[
\text{New Value} = 85 \times (1 + 0.05) = 85 \times 1.05 = 89.25
\]

Answer: 89.25

---

4. Increase 40 by 25%

- Original Value: 40
- Percentage Increase: 25% = 0.25

\[
\text{New Value} = 40 \times (1 + 0.25) = 40 \times 1.25 = 50
\]

Answer: 50

---

5. Increase 100 by 75%

- Original Value: 100
- Percentage Increase: 75% = 0.75

\[
\text{New Value} = 100 \times (1 + 0.75) = 100 \times 1.75 = 175
\]

Answer: 175

---

6. Increase 62 by 20%

- Original Value: 62
- Percentage Increase: 20% = 0.20

\[
\text{New Value} = 62 \times (1 + 0.20) = 62 \times 1.20 = 74.4
\]

Answer: 74.4

---

7. Increase 99 by 50%

- Original Value: 99
- Percentage Increase: 50% = 0.50

\[
\text{New Value} = 99 \times (1 + 0.50) = 99 \times 1.50 = 148.5
\]

Answer: 148.5

---

8. Increase 83 by 20%

- Original Value: 83
- Percentage Increase: 20% = 0.20

\[
\text{New Value} = 83 \times (1 + 0.20) = 83 \times 1.20 = 99.6
\]

Answer: 99.6

---

9. Increase 54 by 25%

- Original Value: 54
- Percentage Increase: 25% = 0.25

\[
\text{New Value} = 54 \times (1 + 0.25) = 54 \times 1.25 = 67.5
\]

Answer: 67.5

---

10. Increase 2 by 75%

- Original Value: 2
- Percentage Increase: 75% = 0.75

\[
\text{New Value} = 2 \times (1 + 0.75) = 2 \times 1.75 = 3.5
\]

Answer: 3.5

---

Final Answers:

1. Increase 3 by 1%: 3.03
2. Increase 22 by 10%: 24.2
3. Increase 85 by 5%: 89.25
4. Increase 40 by 25%: 50
5. Increase 100 by 75%: 175
6. Increase 62 by 20%: 74.4
7. Increase 99 by 50%: 148.5
8. Increase 83 by 20%: 99.6
9. Increase 54 by 25%: 67.5
10. Increase 2 by 75%: 3.5

\boxed{
\begin{array}{ll}
3.03 & 24.2 \\
89.25 & 50 \\
175 & 74.4 \\
148.5 & 99.6 \\
67.5 & 3.5 \\
\end{array}
}