54 is what percent of 370 - 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 370 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 370, so we can write it down as 100%=370.
4. We know, that x% equals 54 of the output value, so we can write it down as x%=54.
5. Now we have two simple equations:
1) 100%=370
2) x%=54
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%=370/54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54 is what percent of 370

100%/x%=370/54
(100/x)*x=(370/54)*x       - we multiply both sides of the equation by x
100=6.8518518518519*x       - we divide both sides of the equation by (6.8518518518519) to get x
100/6.8518518518519=x
14.594594594595=x
x=14.594594594595

now we have:
54 is 14.594594594595% of 370

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