Question

What percent of 75 is 40

Answer 1

The answer is: " 53 $\frac{1}{3}$ % " .

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→ " 53 $\frac{1}{3}$ % " of 75 is "40" .

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Explanation:

To solve:

$\frac{x}{100}$ * 75 = 40 ;

→ Rewrite as:

$\frac{x}{100}$ * $\frac{75}{1}$ = 40 ;

→ The "100" cancels to "4" ; and the "75" cancels to "3" ;

→ {since: "{100 ÷ 25 = 4}" ; and since: "{75 ÷ 25 = 3"} ;

→ So; we rewrite the problem as:

→ $\frac{x}{4}$ * $\frac{3}{1}$ = 40 ;

→ which is:

$\frac{x}{4}$ * 3 = 40 ;

→ Divide each side of the equation by "3" ;

$\frac{x}{4}$ * 3 ÷ 3 = 40 ÷ 3 ;

to get:

→ $\frac{x}{4}$ = $\frac{40}{3}$ ;

Now, cross-multiply:

→ 3x = (4)*(40) ;

→ 3x = 160 ;

Divide each side of the equation by "3" ;

to isolate "x" on one side of the equation; & to solve for "x" ;

→ 3x / 3 = 160 / 3 ;

to get:

→ x = 53 $\frac{1}{3}$ .

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