438.8 is what percent of 930.4 - 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 930.4 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 930.4, so we can write it down as 100%=930.4.
4. We know, that x% equals 438.8 of the output value, so we can write it down as x%=438.8.
5. Now we have two simple equations:
1) 100%=930.4
2) x%=438.8
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%=930.4/438.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438.8 is what percent of 930.4

100%/x%=930.4/438.8
(100/x)*x=(930.4/438.8)*x       - we multiply both sides of the equation by x
100=2.1203281677302*x       - we divide both sides of the equation by (2.1203281677302) to get x
100/2.1203281677302=x
47.162510748065=x
x=47.162510748065

now we have:
438.8 is 47.162510748065% of 930.4