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25.6% of what # is 21.12

2 Answers

4 votes

Let

x------> the number

we know that


25.6% is equal to


(25.6)/(100) =0.256

By using proportion


21.12=x*0.256

divide by
0.256 both sides


(x)/(0.256) *0.256=(21.12)/(0.256) \\ \\ x=82.5

therefore

the answer is


82.5

User Kervin Ramen
by
8.4k points
3 votes
To solve this problem, we are going to use the percent proportion, a/b = p/100, where a is the part of a number b, the whole, and p is the percentage out of 100.
When we fill in our known integers into this equation, we get

21.12 / b = 25.6 / 100

Next, to simplify this equation, we should use cross products (means - extremes products theorem). This means multiplying the numerator of one fraction and the denominator of the other fraction and setting them equal to one another.

21.12(100)=25.6(b)

When we multiply, you get

2112 = 25.6b

Finally, we divide both sides by 25.6, to get our variable b, alone, and without a coefficient.

82.5 = b

Therefore, 25.6% of the number 82.5 is 21.12.
User Geordie Wicks
by
7.9k points

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