161.89 is what percent of 937.13 - 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 937.13 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 937.13, so we can write it down as 100%=937.13.
4. We know, that x% equals 161.89 of the output value, so we can write it down as x%=161.89.
5. Now we have two simple equations:
1) 100%=937.13
2) x%=161.89
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%=937.13/161.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.89 is what percent of 937.13

100%/x%=937.13/161.89
(100/x)*x=(937.13/161.89)*x       - we multiply both sides of the equation by x
100=5.7886836740997*x       - we divide both sides of the equation by (5.7886836740997) to get x
100/5.7886836740997=x
17.275084566709=x
x=17.275084566709

now we have:
161.89 is 17.275084566709% of 937.13