201.99 is what percent of 171.33 - 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 171.33 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 171.33, so we can write it down as 100%=171.33.
4. We know, that x% equals 201.99 of the output value, so we can write it down as x%=201.99.
5. Now we have two simple equations:
1) 100%=171.33
2) x%=201.99
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%=171.33/201.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 201.99 is what percent of 171.33

100%/x%=171.33/201.99
(100/x)*x=(171.33/201.99)*x       - we multiply both sides of the equation by x
100=0.84821030744096*x       - we divide both sides of the equation by (0.84821030744096) to get x
100/0.84821030744096=x
117.89528979163=x
x=117.89528979163

now we have:
201.99 is 117.89528979163% of 171.33