85.07 is what percent of 114.4 - 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 114.4 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 114.4, so we can write it down as 100%=114.4.
4. We know, that x% equals 85.07 of the output value, so we can write it down as x%=85.07.
5. Now we have two simple equations:
1) 100%=114.4
2) x%=85.07
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%=114.4/85.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.07 is what percent of 114.4

100%/x%=114.4/85.07
(100/x)*x=(114.4/85.07)*x       - we multiply both sides of the equation by x
100=1.344774891266*x       - we divide both sides of the equation by (1.344774891266) to get x
100/1.344774891266=x
74.361888111888=x
x=74.361888111888

now we have:
85.07 is 74.361888111888% of 114.4