94.85 is what percent of 536.25 - 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 536.25 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 536.25, so we can write it down as 100%=536.25.
4. We know, that x% equals 94.85 of the output value, so we can write it down as x%=94.85.
5. Now we have two simple equations:
1) 100%=536.25
2) x%=94.85
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%=536.25/94.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.85 is what percent of 536.25

100%/x%=536.25/94.85
(100/x)*x=(536.25/94.85)*x       - we multiply both sides of the equation by x
100=5.65366367949*x       - we divide both sides of the equation by (5.65366367949) to get x
100/5.65366367949=x
17.6876456876=x
x=17.6876456876

now we have:
94.85 is 17.6876456876% of 536.25