Percentage Calculations 354Ef3
1. **State the problem:** We know that 10% of a number is 22. We need to find 5%, 20%, 25%, 55%, and 75% of the same number.
2. **Formula and explanation:** Percentage means "per hundred," so 10% of a number $x$ is $\frac{10}{100} \times x = 0.1x$.
3. **Find the number:** Given 10% of $x$ is 22, we write:
$$0.1x = 22$$
Divide both sides by 0.1:
$$x = \frac{22}{0.1} = 220$$
So, the number is 220.
4. **Calculate the required percentages:**
- 5% of $x$ is $0.05 \times 220 = 11$
- 20% of $x$ is $0.20 \times 220 = 44$
- 25% of $x$ is $0.25 \times 220 = 55$
- 55% of $x$ is $0.55 \times 220 = 121$
- 75% of $x$ is $0.75 \times 220 = 165$
5. **Final answers:**
- 5% = 11
- 20% = 44
- 25% = 55
- 55% = 121
- 75% = 165