398.66 is what percent of 492.12 - 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 492.12 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 492.12, so we can write it down as 100%=492.12.
4. We know, that x% equals 398.66 of the output value, so we can write it down as x%=398.66.
5. Now we have two simple equations:
1) 100%=492.12
2) x%=398.66
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%=492.12/398.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.66 is what percent of 492.12

100%/x%=492.12/398.66
(100/x)*x=(492.12/398.66)*x       - we multiply both sides of the equation by x
100=1.2344353584508*x       - we divide both sides of the equation by (1.2344353584508) to get x
100/1.2344353584508=x
81.008697065756=x
x=81.008697065756

now we have:
398.66 is 81.008697065756% of 492.12