Subjects algebra

Percentage Calculations 354Ef3

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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