408.8 is what percent of 993.35 - 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 993.35 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 993.35, so we can write it down as 100%=993.35.
4. We know, that x% equals 408.8 of the output value, so we can write it down as x%=408.8.
5. Now we have two simple equations:
1) 100%=993.35
2) x%=408.8
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%=993.35/408.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 408.8 is what percent of 993.35

100%/x%=993.35/408.8
(100/x)*x=(993.35/408.8)*x       - we multiply both sides of the equation by x
100=2.4299168297456*x       - we divide both sides of the equation by (2.4299168297456) to get x
100/2.4299168297456=x
41.153671918256=x
x=41.153671918256

now we have:
408.8 is 41.153671918256% of 993.35