68.58 is what percent of 1137.23 - 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 1137.23 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 1137.23, so we can write it down as 100%=1137.23.
4. We know, that x% equals 68.58 of the output value, so we can write it down as x%=68.58.
5. Now we have two simple equations:
1) 100%=1137.23
2) x%=68.58
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%=1137.23/68.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.58 is what percent of 1137.23

100%/x%=1137.23/68.58
(100/x)*x=(1137.23/68.58)*x       - we multiply both sides of the equation by x
100=16.582531350248*x       - we divide both sides of the equation by (16.582531350248) to get x
100/16.582531350248=x
6.0304423907213=x
x=6.0304423907213

now we have:
68.58 is 6.0304423907213% of 1137.23

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