What percent of 7.2 is 45?

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What percent of 7.2 is 45?

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Answer 1 · 2018-06-30T11:35:56

625%

Explanation:

Let the unknown percentage be $x$ $x$ giving:

$x % \times 7.2 = 45$ $x%xx7.2=45$

The % symbol is like a unit of measurement but one that is worth $\frac{1}{100}$ $1/100$ so:

$x % \times 7.2 = 45 d \to d [x \times \frac{1}{100}] \times 7.2 = 45$ $color(green)(color(red)(x%)xx7.2=45 color(white)("d") ->color(white)("d")[color(red)(x xx1/100)]xx7.2=45)$

$ddddddddddddd \to dddd \frac{x}{100} ddd \times 7.2 = 45$ $color(white)("ddddddddddddd")->color(white)("dddd")color(green)(color(red)(x/100)color(white)("ddd")xx7.2=45)$

Divide both sides by $7.2$ $7.2$ ('gets rid' of it from the left)

$\frac{x}{100} = \frac{45}{7.2}$ $x/100=45/7.2$

Multiply both sides by 100 ('gets rid' of it from the left)

$x = 100 \times \frac{45}{7.2}$ $x=100xx45/7.2$

$x = 625$ $x = 625$

But this id the numerator of a percentage so we have:

$625/100color(white)("d")->color(white)("d")625color(white)("d.")ubrace(xx1/100)$
$color(white)("dddddddddddd.dd")darr$

$color(white)("dddd")->color(white)("d")625 color(white)("ddd.")%$

$625%$

Answer 2 · 2018-06-30T11:42:49

$625$

Explanation:

$7.2/100*x=45$

$x=45*100/7.2=4500/7.2=45000/72=5000/8=625$

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What percent of 7.2 is 45?

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