185.36 is what percent of 1488.04 - 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 1488.04 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 1488.04, so we can write it down as 100%=1488.04.
4. We know, that x% equals 185.36 of the output value, so we can write it down as x%=185.36.
5. Now we have two simple equations:
1) 100%=1488.04
2) x%=185.36
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%=1488.04/185.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 185.36 is what percent of 1488.04

100%/x%=1488.04/185.36
(100/x)*x=(1488.04/185.36)*x       - we multiply both sides of the equation by x
100=8.0278377211912*x       - we divide both sides of the equation by (8.0278377211912) to get x
100/8.0278377211912=x
12.456654391011=x
x=12.456654391011

now we have:
185.36 is 12.456654391011% of 1488.04