873.42 is what percent of 3091.3 - 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 3091.3 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 3091.3, so we can write it down as 100%=3091.3.
4. We know, that x% equals 873.42 of the output value, so we can write it down as x%=873.42.
5. Now we have two simple equations:
1) 100%=3091.3
2) x%=873.42
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%=3091.3/873.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 873.42 is what percent of 3091.3

100%/x%=3091.3/873.42
(100/x)*x=(3091.3/873.42)*x       - we multiply both sides of the equation by x
100=3.5393052597834*x       - we divide both sides of the equation by (3.5393052597834) to get x
100/3.5393052597834=x
28.254132565587=x
x=28.254132565587

now we have:
873.42 is 28.254132565587% of 3091.3