485.52 is what percent of 388.42 - 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 388.42 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 388.42, so we can write it down as 100%=388.42.
4. We know, that x% equals 485.52 of the output value, so we can write it down as x%=485.52.
5. Now we have two simple equations:
1) 100%=388.42
2) x%=485.52
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%=388.42/485.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 485.52 is what percent of 388.42

100%/x%=388.42/485.52
(100/x)*x=(388.42/485.52)*x       - we multiply both sides of the equation by x
100=0.80000823858955*x       - we divide both sides of the equation by (0.80000823858955) to get x
100/0.80000823858955=x
124.99871273364=x
x=124.99871273364

now we have:
485.52 is 124.99871273364% of 388.42