404.16 is what percent of 1136 - 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 1136 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 1136, so we can write it down as 100%=1136.
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%=1136
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%=1136/404.16
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 1136

100%/x%=1136/404.16
(100/x)*x=(1136/404.16)*x       - we multiply both sides of the equation by x
100=2.8107680126682*x       - we divide both sides of the equation by (2.8107680126682) to get x
100/2.8107680126682=x
35.577464788732=x
x=35.577464788732

now we have:
404.16 is 35.577464788732% of 1136