20.36 is what percent of 167.6 - 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 167.6 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 167.6, so we can write it down as 100%=167.6.
4. We know, that x% equals 20.36 of the output value, so we can write it down as x%=20.36.
5. Now we have two simple equations:
1) 100%=167.6
2) x%=20.36
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%=167.6/20.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.36 is what percent of 167.6

100%/x%=167.6/20.36
(100/x)*x=(167.6/20.36)*x       - we multiply both sides of the equation by x
100=8.2318271119843*x       - we divide both sides of the equation by (8.2318271119843) to get x
100/8.2318271119843=x
12.147971360382=x
x=12.147971360382

now we have:
20.36 is 12.147971360382% of 167.6