1631.82 is what percent of 8159.08 - 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 8159.08 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 8159.08, so we can write it down as 100%=8159.08.
4. We know, that x% equals 1631.82 of the output value, so we can write it down as x%=1631.82.
5. Now we have two simple equations:
1) 100%=8159.08
2) x%=1631.82
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%=8159.08/1631.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1631.82 is what percent of 8159.08

100%/x%=8159.08/1631.82
(100/x)*x=(8159.08/1631.82)*x       - we multiply both sides of the equation by x
100=4.9999877437462*x       - we divide both sides of the equation by (4.9999877437462) to get x
100/4.9999877437462=x
20.000049025135=x
x=20.000049025135

now we have:
1631.82 is 20.000049025135% of 8159.08