34.15 is what percent of 171.16 - 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 171.16 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 171.16, so we can write it down as 100%=171.16.
4. We know, that x% equals 34.15 of the output value, so we can write it down as x%=34.15.
5. Now we have two simple equations:
1) 100%=171.16
2) x%=34.15
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%=171.16/34.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.15 is what percent of 171.16

100%/x%=171.16/34.15
(100/x)*x=(171.16/34.15)*x       - we multiply both sides of the equation by x
100=5.0120058565154*x       - we divide both sides of the equation by (5.0120058565154) to get x
100/5.0120058565154=x
19.952091610189=x
x=19.952091610189

now we have:
34.15 is 19.952091610189% of 171.16