2809.16 is what percent of 42117.57 - 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 42117.57 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 42117.57, so we can write it down as 100%=42117.57.
4. We know, that x% equals 2809.16 of the output value, so we can write it down as x%=2809.16.
5. Now we have two simple equations:
1) 100%=42117.57
2) x%=2809.16
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%=42117.57/2809.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2809.16 is what percent of 42117.57

100%/x%=42117.57/2809.16
(100/x)*x=(42117.57/2809.16)*x       - we multiply both sides of the equation by x
100=14.99294095032*x       - we divide both sides of the equation by (14.99294095032) to get x
100/14.99294095032=x
6.6698054992251=x
x=6.6698054992251

now we have:
2809.16 is 6.6698054992251% of 42117.57