700.4 is what percent of 1324 - 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 1324 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 1324, so we can write it down as 100%=1324.
4. We know, that x% equals 700.4 of the output value, so we can write it down as x%=700.4.
5. Now we have two simple equations:
1) 100%=1324
2) x%=700.4
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%=1324/700.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 700.4 is what percent of 1324

100%/x%=1324/700.4
(100/x)*x=(1324/700.4)*x       - we multiply both sides of the equation by x
100=1.8903483723587*x       - we divide both sides of the equation by (1.8903483723587) to get x
100/1.8903483723587=x
52.900302114804=x
x=52.900302114804

now we have:
700.4 is 52.900302114804% of 1324