20 is what percent of 8.539922426 - 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 8.539922426 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 8.539922426, so we can write it down as 100%=8.539922426.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=8.539922426
2) x%=20
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%=8.539922426/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 8.539922426

100%/x%=8.539922426/20
(100/x)*x=(8.539922426/20)*x       - we multiply both sides of the equation by x
100=0.4269961213*x       - we divide both sides of the equation by (0.4269961213) to get x
100/0.4269961213=x
234.19416479838=x
x=234.19416479838

now we have:
20 is 234.19416479838% of 8.539922426