74.86 is what percent of 128.71 - 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 128.71 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 128.71, so we can write it down as 100%=128.71.
4. We know, that x% equals 74.86 of the output value, so we can write it down as x%=74.86.
5. Now we have two simple equations:
1) 100%=128.71
2) x%=74.86
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%=128.71/74.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.86 is what percent of 128.71

100%/x%=128.71/74.86
(100/x)*x=(128.71/74.86)*x       - we multiply both sides of the equation by x
100=1.7193427731766*x       - we divide both sides of the equation by (1.7193427731766) to get x
100/1.7193427731766=x
58.161758993085=x
x=58.161758993085

now we have:
74.86 is 58.161758993085% of 128.71