2857.49 is what percent of 8250 - 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 8250 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 8250, so we can write it down as 100%=8250.
4. We know, that x% equals 2857.49 of the output value, so we can write it down as x%=2857.49.
5. Now we have two simple equations:
1) 100%=8250
2) x%=2857.49
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%=8250/2857.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2857.49 is what percent of 8250

100%/x%=8250/2857.49
(100/x)*x=(8250/2857.49)*x       - we multiply both sides of the equation by x
100=2.8871492113708*x       - we divide both sides of the equation by (2.8871492113708) to get x
100/2.8871492113708=x
34.636242424242=x
x=34.636242424242

now we have:
2857.49 is 34.636242424242% of 8250