Question

1. 5% of what number is 3.6?
2. 12.6 is what percent of 105?
3. 13% of what number is 3.77?
4. what is 70% of 140?
5. 25% of what number is 85?
6. what percent of 220 is 140.8?

Explanation:

Step1: Define unknown as $x$

Let the number be $x$.
$5\% \times x = 3.6$
$\frac{5}{100}x = 3.6$

Step2: Solve for $x$

$x = 3.6 \times \frac{100}{5}$
$x = 3.6 \times 20 = 72$

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Step1: Set up percent formula

Let percent be $p$.
$\frac{12.6}{105} = \frac{p}{100}$

Step2: Calculate $p$

$p = \frac{12.6}{105} \times 100$
$p = 0.12 \times 100 = 12$

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Step1: Define unknown as $x$

Let the number be $x$.
$13\% \times x = 3.77$
$\frac{13}{100}x = 3.77$

Step2: Solve for $x$

$x = 3.77 \times \frac{100}{13}$
$x = 29$

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Step1: Calculate 70% of 140

$70\% \times 140 = \frac{70}{100} \times 140$

Step2: Compute the value

$\frac{70}{100} \times 140 = 0.7 \times 140 = 98$

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Step1: Define unknown as $x$

Let the number be $x$.
$25\% \times x = 85$
$\frac{25}{100}x = 85$

Step2: Solve for $x$

$x = 85 \times \frac{100}{25}$
$x = 85 \times 4 = 340$

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Step1: Set up percent formula

Let percent be $p$.
$\frac{140.8}{220} = \frac{p}{100}$

Step2: Calculate $p$

$p = \frac{140.8}{220} \times 100$
$p = 0.64 \times 100 = 64$

Answer:

1. 72
2. 12%
3. 29
4. 98
5. 340
6. 64%