13.51 is what percent of 167.09 - 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 167.09 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 167.09, so we can write it down as 100%=167.09.
4. We know, that x% equals 13.51 of the output value, so we can write it down as x%=13.51.
5. Now we have two simple equations:
1) 100%=167.09
2) x%=13.51
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%=167.09/13.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.51 is what percent of 167.09

100%/x%=167.09/13.51
(100/x)*x=(167.09/13.51)*x       - we multiply both sides of the equation by x
100=12.367875647668*x       - we divide both sides of the equation by (12.367875647668) to get x
100/12.367875647668=x
8.0854629241726=x
x=8.0854629241726

now we have:
13.51 is 8.0854629241726% of 167.09