71.2 is what percent of 61.3 - 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 61.3 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 61.3, so we can write it down as 100%=61.3.
4. We know, that x% equals 71.2 of the output value, so we can write it down as x%=71.2.
5. Now we have two simple equations:
1) 100%=61.3
2) x%=71.2
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%=61.3/71.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.2 is what percent of 61.3

100%/x%=61.3/71.2
(100/x)*x=(61.3/71.2)*x       - we multiply both sides of the equation by x
100=0.86095505617978*x       - we divide both sides of the equation by (0.86095505617978) to get x
100/0.86095505617978=x
116.15008156607=x
x=116.15008156607

now we have:
71.2 is 116.15008156607% of 61.3