87.2 is what percent of 67.9 - 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 67.9 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 67.9, so we can write it down as 100%=67.9.
4. We know, that x% equals 87.2 of the output value, so we can write it down as x%=87.2.
5. Now we have two simple equations:
1) 100%=67.9
2) x%=87.2
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%=67.9/87.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.2 is what percent of 67.9

100%/x%=67.9/87.2
(100/x)*x=(67.9/87.2)*x       - we multiply both sides of the equation by x
100=0.77866972477064*x       - we divide both sides of the equation by (0.77866972477064) to get x
100/0.77866972477064=x
128.42415316642=x
x=128.42415316642

now we have:
87.2 is 128.42415316642% of 67.9