684.08 is what percent of 755.08 - 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 755.08 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 755.08, so we can write it down as 100%=755.08.
4. We know, that x% equals 684.08 of the output value, so we can write it down as x%=684.08.
5. Now we have two simple equations:
1) 100%=755.08
2) x%=684.08
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%=755.08/684.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 684.08 is what percent of 755.08

100%/x%=755.08/684.08
(100/x)*x=(755.08/684.08)*x       - we multiply both sides of the equation by x
100=1.1037890305227*x       - we divide both sides of the equation by (1.1037890305227) to get x
100/1.1037890305227=x
90.597022832018=x
x=90.597022832018

now we have:
684.08 is 90.597022832018% of 755.08