What percent of 80 is 88?

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Answer 1 · 2018-07-24T14:54:24

$x = 110 %$ $x = 110%$

Interpretation;

Let the percent be represented by $x %$ $x%$

$x % x of x 80 = 88$ $x% color(white)x "of" color(white)x 80 = 88$

Note: $of = \times and a % = \frac{a}{100}$ $"of" = xx and a% = a/100$

$x % \times 80 = 88$ $x% xx 80 = 88$

$80 x % = 88$ $80x% = 88$

$x % = \frac{88}{80}$ $x% = 88/80$

$x % = 1.1$ $x% = 1.1$

$\frac{x}{100} = 1.1$ $x/100 = 1.1$

Cross multiplying;

$x = (1.1 \times 100) %$ $x = (1.1 xx 100)%$

$x = 110 %$ $x = 110%$

For clarification;

$110 % x of x 80 = \frac{110}{100} \cdot 80 = 88$ $110% color(white)x "of" color(white)x 80 = 110/100 ⋅ 80 = 88$