711.5 is what percent of 2101.5 - 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 2101.5 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 2101.5, so we can write it down as 100%=2101.5.
4. We know, that x% equals 711.5 of the output value, so we can write it down as x%=711.5.
5. Now we have two simple equations:
1) 100%=2101.5
2) x%=711.5
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%=2101.5/711.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 711.5 is what percent of 2101.5

100%/x%=2101.5/711.5
(100/x)*x=(2101.5/711.5)*x       - we multiply both sides of the equation by x
100=2.9536191145467*x       - we divide both sides of the equation by (2.9536191145467) to get x
100/2.9536191145467=x
33.856768974542=x
x=33.856768974542

now we have:
711.5 is 33.856768974542% of 2101.5