90.5 is what percent of 18 - 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 18 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 18, so we can write it down as 100%=18.
4. We know, that x% equals 90.5 of the output value, so we can write it down as x%=90.5.
5. Now we have two simple equations:
1) 100%=18
2) x%=90.5
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%=18/90.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.5 is what percent of 18

100%/x%=18/90.5
(100/x)*x=(18/90.5)*x       - we multiply both sides of the equation by x
100=0.19889502762431*x       - we divide both sides of the equation by (0.19889502762431) to get x
100/0.19889502762431=x
502.77777777778=x
x=502.77777777778

now we have:
90.5 is 502.77777777778% of 18