2185.58 is what percent of 6250 - 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 6250 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 6250, so we can write it down as 100%=6250.
4. We know, that x% equals 2185.58 of the output value, so we can write it down as x%=2185.58.
5. Now we have two simple equations:
1) 100%=6250
2) x%=2185.58
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%=6250/2185.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2185.58 is what percent of 6250

100%/x%=6250/2185.58
(100/x)*x=(6250/2185.58)*x       - we multiply both sides of the equation by x
100=2.859652815271*x       - we divide both sides of the equation by (2.859652815271) to get x
100/2.859652815271=x
34.96928=x
x=34.96928

now we have:
2185.58 is 34.96928% of 6250