90 is what percent of 162.25 - 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 162.25 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 162.25, so we can write it down as 100%=162.25.
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%=162.25
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%=162.25/90
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 162.25

100%/x%=162.25/90
(100/x)*x=(162.25/90)*x       - we multiply both sides of the equation by x
100=1.8027777777778*x       - we divide both sides of the equation by (1.8027777777778) to get x
100/1.8027777777778=x
55.469953775039=x
x=55.469953775039

now we have:
90 is 55.469953775039% of 162.25