119.17 is what percent of 167.92 - 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 167.92 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 167.92, so we can write it down as 100%=167.92.
4. We know, that x% equals 119.17 of the output value, so we can write it down as x%=119.17.
5. Now we have two simple equations:
1) 100%=167.92
2) x%=119.17
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%=167.92/119.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.17 is what percent of 167.92

100%/x%=167.92/119.17
(100/x)*x=(167.92/119.17)*x       - we multiply both sides of the equation by x
100=1.4090794663086*x       - we divide both sides of the equation by (1.4090794663086) to get x
100/1.4090794663086=x
70.968318246784=x
x=70.968318246784

now we have:
119.17 is 70.968318246784% of 167.92