54 is what percent of 38 - 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 38 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 38, so we can write it down as 100%=38.
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%=38
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%=38/54
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 38

100%/x%=38/54
(100/x)*x=(38/54)*x       - we multiply both sides of the equation by x
100=0.703703703704*x       - we divide both sides of the equation by (0.703703703704) to get x
100/0.703703703704=x
142.105263158=x
x=142.105263158

now we have:
54 is 142.105263158% of 38

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