90 is what percent of 501 - 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 501 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 501, so we can write it down as 100%=501.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=501
2) x%=90
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%=501/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 501

100%/x%=501/90
(100/x)*x=(501/90)*x       - we multiply both sides of the equation by x
100=5.5666666666667*x       - we divide both sides of the equation by (5.5666666666667) to get x
100/5.5666666666667=x
17.964071856287=x
x=17.964071856287

now we have:
90 is 17.964071856287% of 501