389.22 is what percent of 407.22 - 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 407.22 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 407.22, so we can write it down as 100%=407.22.
4. We know, that x% equals 389.22 of the output value, so we can write it down as x%=389.22.
5. Now we have two simple equations:
1) 100%=407.22
2) x%=389.22
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%=407.22/389.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 389.22 is what percent of 407.22

100%/x%=407.22/389.22
(100/x)*x=(407.22/389.22)*x       - we multiply both sides of the equation by x
100=1.0462463388315*x       - we divide both sides of the equation by (1.0462463388315) to get x
100/1.0462463388315=x
95.579784882864=x
x=95.579784882864

now we have:
389.22 is 95.579784882864% of 407.22