725.85 is what percent of 2114.3 - 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 2114.3 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 2114.3, so we can write it down as 100%=2114.3.
4. We know, that x% equals 725.85 of the output value, so we can write it down as x%=725.85.
5. Now we have two simple equations:
1) 100%=2114.3
2) x%=725.85
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%=2114.3/725.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 725.85 is what percent of 2114.3

100%/x%=2114.3/725.85
(100/x)*x=(2114.3/725.85)*x       - we multiply both sides of the equation by x
100=2.9128607839085*x       - we divide both sides of the equation by (2.9128607839085) to get x
100/2.9128607839085=x
34.330511280329=x
x=34.330511280329

now we have:
725.85 is 34.330511280329% of 2114.3