21.12 is what percent of 58 - 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 58 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 58, so we can write it down as 100%=58.
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%=58
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%=58/21.12
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 58

100%/x%=58/21.12
(100/x)*x=(58/21.12)*x - we multiply both sides of the equation by x
100=2.1*x - we divide both sides of the equation by (2.1) to get x
100/2.1=x
36.=x
x=36.

now we have:
21.12 is 36.% of 58

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