90.31 is what percent of 166.31 - 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 166.31 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 166.31, so we can write it down as 100%=166.31.
4. We know, that x% equals 90.31 of the output value, so we can write it down as x%=90.31.
5. Now we have two simple equations:
1) 100%=166.31
2) x%=90.31
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%=166.31/90.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.31 is what percent of 166.31

100%/x%=166.31/90.31
(100/x)*x=(166.31/90.31)*x       - we multiply both sides of the equation by x
100=1.8415457867346*x       - we divide both sides of the equation by (1.8415457867346) to get x
100/1.8415457867346=x
54.302206722386=x
x=54.302206722386

now we have:
90.31 is 54.302206722386% of 166.31