39.02 is what percent of 969.61 - 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 969.61 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 969.61, so we can write it down as 100%=969.61.
4. We know, that x% equals 39.02 of the output value, so we can write it down as x%=39.02.
5. Now we have two simple equations:
1) 100%=969.61
2) x%=39.02
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%=969.61/39.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.02 is what percent of 969.61

100%/x%=969.61/39.02
(100/x)*x=(969.61/39.02)*x       - we multiply both sides of the equation by x
100=24.849051768324*x       - we divide both sides of the equation by (24.849051768324) to get x
100/24.849051768324=x
4.0242984292654=x
x=4.0242984292654

now we have:
39.02 is 4.0242984292654% of 969.61