70.15 is what percent of 107.51 - 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 107.51 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 107.51, so we can write it down as 100%=107.51.
4. We know, that x% equals 70.15 of the output value, so we can write it down as x%=70.15.
5. Now we have two simple equations:
1) 100%=107.51
2) x%=70.15
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%=107.51/70.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.15 is what percent of 107.51

100%/x%=107.51/70.15
(100/x)*x=(107.51/70.15)*x       - we multiply both sides of the equation by x
100=1.5325730577334*x       - we divide both sides of the equation by (1.5325730577334) to get x
100/1.5325730577334=x
65.249744209841=x
x=65.249744209841

now we have:
70.15 is 65.249744209841% of 107.51