404.16 is what percent of 941.3 - 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 941.3 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 941.3, so we can write it down as 100%=941.3.
4. We know, that x% equals 404.16 of the output value, so we can write it down as x%=404.16.
5. Now we have two simple equations:
1) 100%=941.3
2) x%=404.16
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%=941.3/404.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 404.16 is what percent of 941.3

100%/x%=941.3/404.16
(100/x)*x=(941.3/404.16)*x       - we multiply both sides of the equation by x
100=2.3290281076801*x       - we divide both sides of the equation by (2.3290281076801) to get x
100/2.3290281076801=x
42.936364602146=x
x=42.936364602146

now we have:
404.16 is 42.936364602146% of 941.3