35.02 is what percent of 492.5 - 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 492.5 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 492.5, so we can write it down as 100%=492.5.
4. We know, that x% equals 35.02 of the output value, so we can write it down as x%=35.02.
5. Now we have two simple equations:
1) 100%=492.5
2) x%=35.02
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%=492.5/35.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.02 is what percent of 492.5

100%/x%=492.5/35.02
(100/x)*x=(492.5/35.02)*x       - we multiply both sides of the equation by x
100=14.06339234723*x       - we divide both sides of the equation by (14.06339234723) to get x
100/14.06339234723=x
7.1106598984772=x
x=7.1106598984772

now we have:
35.02 is 7.1106598984772% of 492.5