682.71 is what percent of 2082.71 - 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 2082.71 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 2082.71, so we can write it down as 100%=2082.71.
4. We know, that x% equals 682.71 of the output value, so we can write it down as x%=682.71.
5. Now we have two simple equations:
1) 100%=2082.71
2) x%=682.71
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%=2082.71/682.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 682.71 is what percent of 2082.71

100%/x%=2082.71/682.71
(100/x)*x=(2082.71/682.71)*x       - we multiply both sides of the equation by x
100=3.0506510817184*x       - we divide both sides of the equation by (3.0506510817184) to get x
100/3.0506510817184=x
32.779887742413=x
x=32.779887742413

now we have:
682.71 is 32.779887742413% of 2082.71