345.1 is what percent of 397.5 - 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 397.5 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 397.5, so we can write it down as 100%=397.5.
4. We know, that x% equals 345.1 of the output value, so we can write it down as x%=345.1.
5. Now we have two simple equations:
1) 100%=397.5
2) x%=345.1
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%=397.5/345.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 345.1 is what percent of 397.5

100%/x%=397.5/345.1
(100/x)*x=(397.5/345.1)*x       - we multiply both sides of the equation by x
100=1.1518400463634*x       - we divide both sides of the equation by (1.1518400463634) to get x
100/1.1518400463634=x
86.817610062893=x
x=86.817610062893

now we have:
345.1 is 86.817610062893% of 397.5