438.2 is what percent of 590.4 - 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 590.4 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 590.4, so we can write it down as 100%=590.4.
4. We know, that x% equals 438.2 of the output value, so we can write it down as x%=438.2.
5. Now we have two simple equations:
1) 100%=590.4
2) x%=438.2
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%=590.4/438.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438.2 is what percent of 590.4

100%/x%=590.4/438.2
(100/x)*x=(590.4/438.2)*x       - we multiply both sides of the equation by x
100=1.3473299863076*x       - we divide both sides of the equation by (1.3473299863076) to get x
100/1.3473299863076=x
74.220867208672=x
x=74.220867208672

now we have:
438.2 is 74.220867208672% of 590.4