386.75 is what percent of 398.23 - 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 398.23 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 398.23, so we can write it down as 100%=398.23.
4. We know, that x% equals 386.75 of the output value, so we can write it down as x%=386.75.
5. Now we have two simple equations:
1) 100%=398.23
2) x%=386.75
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%=398.23/386.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 386.75 is what percent of 398.23

100%/x%=398.23/386.75
(100/x)*x=(398.23/386.75)*x       - we multiply both sides of the equation by x
100=1.0296832579186*x       - we divide both sides of the equation by (1.0296832579186) to get x
100/1.0296832579186=x
97.117243803832=x
x=97.117243803832

now we have:
386.75 is 97.117243803832% of 398.23