1021.5 is what percent of 9564 - 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 9564 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 9564, so we can write it down as 100%=9564.
4. We know, that x% equals 1021.5 of the output value, so we can write it down as x%=1021.5.
5. Now we have two simple equations:
1) 100%=9564
2) x%=1021.5
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%=9564/1021.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1021.5 is what percent of 9564

100%/x%=9564/1021.5
(100/x)*x=(9564/1021.5)*x       - we multiply both sides of the equation by x
100=9.3627019089574*x       - we divide both sides of the equation by (9.3627019089574) to get x
100/9.3627019089574=x
10.680677540778=x
x=10.680677540778

now we have:
1021.5 is 10.680677540778% of 9564