57.2 is what percent of 74 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 74 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 74, so we can write it down as 100%=74.
4. We know, that x% equals 57.2 of the output value, so we can write it down as x%=57.2.
5. Now we have two simple equations:
1) 100%=74
2) x%=57.2
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%=74/57.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.2 is what percent of 74

100%/x%=74/57.2
(100/x)*x=(74/57.2)*x       - we multiply both sides of the equation by x
100=1.2937062937063*x       - we divide both sides of the equation by (1.2937062937063) to get x
100/1.2937062937063=x
77.297297297297=x
x=77.297297297297

now we have:
57.2 is 77.297297297297% of 74