13.66 is what percent of 68.31 - 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 68.31 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 68.31, so we can write it down as 100%=68.31.
4. We know, that x% equals 13.66 of the output value, so we can write it down as x%=13.66.
5. Now we have two simple equations:
1) 100%=68.31
2) x%=13.66
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%=68.31/13.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.66 is what percent of 68.31

100%/x%=68.31/13.66
(100/x)*x=(68.31/13.66)*x       - we multiply both sides of the equation by x
100=5.0007320644217*x       - we divide both sides of the equation by (5.0007320644217) to get x
100/5.0007320644217=x
19.997072170985=x
x=19.997072170985

now we have:
13.66 is 19.997072170985% of 68.31

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