1702.36 is what percent of 8511.82 - 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 8511.82 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 8511.82, so we can write it down as 100%=8511.82.
4. We know, that x% equals 1702.36 of the output value, so we can write it down as x%=1702.36.
5. Now we have two simple equations:
1) 100%=8511.82
2) x%=1702.36
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%=8511.82/1702.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1702.36 is what percent of 8511.82

100%/x%=8511.82/1702.36
(100/x)*x=(8511.82/1702.36)*x       - we multiply both sides of the equation by x
100=5.0000117483963*x       - we divide both sides of the equation by (5.0000117483963) to get x
100/5.0000117483963=x
19.999953006525=x
x=19.999953006525

now we have:
1702.36 is 19.999953006525% of 8511.82