388.42 is what percent of 425.2 - 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 425.2 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 425.2, so we can write it down as 100%=425.2.
4. We know, that x% equals 388.42 of the output value, so we can write it down as x%=388.42.
5. Now we have two simple equations:
1) 100%=425.2
2) x%=388.42
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%=425.2/388.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 388.42 is what percent of 425.2

100%/x%=425.2/388.42
(100/x)*x=(425.2/388.42)*x       - we multiply both sides of the equation by x
100=1.0946913135266*x       - we divide both sides of the equation by (1.0946913135266) to get x
100/1.0946913135266=x
91.349952963311=x
x=91.349952963311

now we have:
388.42 is 91.349952963311% of 425.2