655.04 is what percent of 884 - 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 884 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 884, so we can write it down as 100%=884.
4. We know, that x% equals 655.04 of the output value, so we can write it down as x%=655.04.
5. Now we have two simple equations:
1) 100%=884
2) x%=655.04
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%=884/655.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 655.04 is what percent of 884

100%/x%=884/655.04
(100/x)*x=(884/655.04)*x       - we multiply both sides of the equation by x
100=1.3495359062042*x       - we divide both sides of the equation by (1.3495359062042) to get x
100/1.3495359062042=x
74.099547511312=x
x=74.099547511312

now we have:
655.04 is 74.099547511312% of 884