107.74 is what percent of 6.137 - 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 6.137 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 6.137, so we can write it down as 100%=6.137.
4. We know, that x% equals 107.74 of the output value, so we can write it down as x%=107.74.
5. Now we have two simple equations:
1) 100%=6.137
2) x%=107.74
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%=6.137/107.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.74 is what percent of 6.137

100%/x%=6.137/107.74
(100/x)*x=(6.137/107.74)*x       - we multiply both sides of the equation by x
100=0.05696120289586*x       - we divide both sides of the equation by (0.05696120289586) to get x
100/0.05696120289586=x
1755.5809027212=x
x=1755.5809027212

now we have:
107.74 is 1755.5809027212% of 6.137

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