630.4 is what percent of 745 - 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 745 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 745, so we can write it down as 100%=745.
4. We know, that x% equals 630.4 of the output value, so we can write it down as x%=630.4.
5. Now we have two simple equations:
1) 100%=745
2) x%=630.4
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%=745/630.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 630.4 is what percent of 745

100%/x%=745/630.4
(100/x)*x=(745/630.4)*x       - we multiply both sides of the equation by x
100=1.1817893401015*x       - we divide both sides of the equation by (1.1817893401015) to get x
100/1.1817893401015=x
84.61744966443=x
x=84.61744966443

now we have:
630.4 is 84.61744966443% of 745