61.52 is what percent of 970979.85 - 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 970979.85 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 970979.85, so we can write it down as 100%=970979.85.
4. We know, that x% equals 61.52 of the output value, so we can write it down as x%=61.52.
5. Now we have two simple equations:
1) 100%=970979.85
2) x%=61.52
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%=970979.85/61.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.52 is what percent of 970979.85

100%/x%=970979.85/61.52
(100/x)*x=(970979.85/61.52)*x       - we multiply both sides of the equation by x
100=15783.157509753*x       - we divide both sides of the equation by (15783.157509753) to get x
100/15783.157509753=x
0.0063358678349504=x
x=0.0063358678349504

now we have:
61.52 is 0.0063358678349504% of 970979.85