82 is what percent of 119.31 - 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 119.31 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 119.31, so we can write it down as 100%=119.31.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=119.31
2) x%=82
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%=119.31/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 119.31

100%/x%=119.31/82
(100/x)*x=(119.31/82)*x       - we multiply both sides of the equation by x
100=1.455*x       - we divide both sides of the equation by (1.455) to get x
100/1.455=x
68.7285223368=x
x=68.7285223368

now we have:
82 is 68.7285223368% of 119.31

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