165.28 is what percent of 901.66 - 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 901.66 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 901.66, so we can write it down as 100%=901.66.
4. We know, that x% equals 165.28 of the output value, so we can write it down as x%=165.28.
5. Now we have two simple equations:
1) 100%=901.66
2) x%=165.28
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%=901.66/165.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.28 is what percent of 901.66

100%/x%=901.66/165.28
(100/x)*x=(901.66/165.28)*x       - we multiply both sides of the equation by x
100=5.455348499516*x       - we divide both sides of the equation by (5.455348499516) to get x
100/5.455348499516=x
18.33063460728=x
x=18.33063460728

now we have:
165.28 is 18.33063460728% of 901.66