42697.91 is what percent of 70704.13 - 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 70704.13 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 70704.13, so we can write it down as 100%=70704.13.
4. We know, that x% equals 42697.91 of the output value, so we can write it down as x%=42697.91.
5. Now we have two simple equations:
1) 100%=70704.13
2) x%=42697.91
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%=70704.13/42697.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42697.91 is what percent of 70704.13

100%/x%=70704.13/42697.91
(100/x)*x=(70704.13/42697.91)*x       - we multiply both sides of the equation by x
100=1.6559154768934*x       - we divide both sides of the equation by (1.6559154768934) to get x
100/1.6559154768934=x
60.389555744481=x
x=60.389555744481

now we have:
42697.91 is 60.389555744481% of 70704.13