90.13 is what percent of 360.5 - 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 360.5 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 360.5, so we can write it down as 100%=360.5.
4. We know, that x% equals 90.13 of the output value, so we can write it down as x%=90.13.
5. Now we have two simple equations:
1) 100%=360.5
2) x%=90.13
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%=360.5/90.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.13 is what percent of 360.5

100%/x%=360.5/90.13
(100/x)*x=(360.5/90.13)*x       - we multiply both sides of the equation by x
100=3.9997780983025*x       - we divide both sides of the equation by (3.9997780983025) to get x
100/3.9997780983025=x
25.001386962552=x
x=25.001386962552

now we have:
90.13 is 25.001386962552% of 360.5