20.4 is what percent of 167 - 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 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, so we can write it down as 100%=167.
4. We know, that x% equals 20.4 of the output value, so we can write it down as x%=20.4.
5. Now we have two simple equations:
1) 100%=167
2) x%=20.4
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%=167/20.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.4 is what percent of 167

100%/x%=167/20.4
(100/x)*x=(167/20.4)*x       - we multiply both sides of the equation by x
100=8.1862745098039*x       - we divide both sides of the equation by (8.1862745098039) to get x
100/8.1862745098039=x
12.215568862275=x
x=12.215568862275

now we have:
20.4 is 12.215568862275% of 167