804.64 is what percent of 7004.64 - 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 7004.64 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 7004.64, so we can write it down as 100%=7004.64.
4. We know, that x% equals 804.64 of the output value, so we can write it down as x%=804.64.
5. Now we have two simple equations:
1) 100%=7004.64
2) x%=804.64
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%=7004.64/804.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 804.64 is what percent of 7004.64

100%/x%=7004.64/804.64
(100/x)*x=(7004.64/804.64)*x       - we multiply both sides of the equation by x
100=8.7053092066017*x       - we divide both sides of the equation by (8.7053092066017) to get x
100/8.7053092066017=x
11.487242741954=x
x=11.487242741954

now we have:
804.64 is 11.487242741954% of 7004.64