39.26 is what percent of 70.49 - 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 70.49 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 70.49, so we can write it down as 100%=70.49.
4. We know, that x% equals 39.26 of the output value, so we can write it down as x%=39.26.
5. Now we have two simple equations:
1) 100%=70.49
2) x%=39.26
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%=70.49/39.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.26 is what percent of 70.49

100%/x%=70.49/39.26
(100/x)*x=(70.49/39.26)*x       - we multiply both sides of the equation by x
100=1.7954661232807*x       - we divide both sides of the equation by (1.7954661232807) to get x
100/1.7954661232807=x
55.69584338204=x
x=55.69584338204

now we have:
39.26 is 55.69584338204% of 70.49