21.12 is what percent of 82 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 82 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 82, so we can write it down as 100%=82.
4. We know, that x% equals 21.12 of the output value, so we can write it down as x%=21.12.
5. Now we have two simple equations:
1) 100%=82
2) x%=21.12
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=82/21.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.12 is what percent of 82

100%/x%=82/21.12
(100/x)*x=(82/21.12)*x - we multiply both sides of the equation by x
100=3.8*x - we divide both sides of the equation by (3.8) to get x
100/3.8=x
25.=x
x=25.

now we have:
21.12 is 25.% of 82

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