20.09 is what percent of 1815.882 - 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 1815.882 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 1815.882, so we can write it down as 100%=1815.882.
4. We know, that x% equals 20.09 of the output value, so we can write it down as x%=20.09.
5. Now we have two simple equations:
1) 100%=1815.882
2) x%=20.09
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%=1815.882/20.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.09 is what percent of 1815.882

100%/x%=1815.882/20.09
(100/x)*x=(1815.882/20.09)*x       - we multiply both sides of the equation by x
100=90.387356893977*x       - we divide both sides of the equation by (90.387356893977) to get x
100/90.387356893977=x
1.1063494213831=x
x=1.1063494213831

now we have:
20.09 is 1.1063494213831% of 1815.882