827.2 is what percent of 2100 - 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 2100 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 2100, so we can write it down as 100%=2100.
4. We know, that x% equals 827.2 of the output value, so we can write it down as x%=827.2.
5. Now we have two simple equations:
1) 100%=2100
2) x%=827.2
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%=2100/827.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 827.2 is what percent of 2100

100%/x%=2100/827.2
(100/x)*x=(2100/827.2)*x       - we multiply both sides of the equation by x
100=2.5386847195358*x       - we divide both sides of the equation by (2.5386847195358) to get x
100/2.5386847195358=x
39.390476190476=x
x=39.390476190476

now we have:
827.2 is 39.390476190476% of 2100