112.8 is what percent of 171.6 - 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 171.6 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 171.6, so we can write it down as 100%=171.6.
4. We know, that x% equals 112.8 of the output value, so we can write it down as x%=112.8.
5. Now we have two simple equations:
1) 100%=171.6
2) x%=112.8
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%=171.6/112.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.8 is what percent of 171.6

100%/x%=171.6/112.8
(100/x)*x=(171.6/112.8)*x       - we multiply both sides of the equation by x
100=1.5212765957447*x       - we divide both sides of the equation by (1.5212765957447) to get x
100/1.5212765957447=x
65.734265734266=x
x=65.734265734266

now we have:
112.8 is 65.734265734266% of 171.6