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Math  /  Numbers & Operations

Question21.12 is what percent of 82.5 ?

Studdy Solution

STEP 1

1. We are given two numbers: 21.12 and 82.5.
2. We need to find what percent 21.12 is of 82.5.
3. The result should be expressed as a percentage.

STEP 2

1. Formulate the percentage equation.
2. Solve the equation to find the percentage.
3. Convert the result into a percentage form.

STEP 3

Formulate the equation to find the percentage x x where 21.12 21.12 is x% x \% of 82.5 82.5 .
21.12=x%×82.5 21.12 = x \% \times 82.5

STEP 4

Convert the percentage x% x \% to a decimal x100 \frac{x}{100} .
21.12=(x100)×82.5 21.12 = \left( \frac{x}{100} \right) \times 82.5

STEP 5

Isolate x x by multiplying both sides of the equation by 100 100 .
21.12=x×82.5100 21.12 = \frac{x \times 82.5}{100} 21.12×100=x×82.5 21.12 \times 100 = x \times 82.5 2112=x×82.5 2112 = x \times 82.5

STEP 6

Solve for x x by dividing both sides by 82.5 82.5 .
x=211282.5 x = \frac{2112}{82.5}

STEP 7

Perform the division to find the value of x x .
x≈25.6 x \approx 25.6

STEP 8

Convert the decimal x x to a percentage.
x≈25.6% x \approx 25.6\%
The solution is: 21.12 is 25.6% of 82.5 21.12 \text{ is } 25.6\% \text{ of } 82.5

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