335.11 is what percent of 3125.73 - 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 3125.73 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 3125.73, so we can write it down as 100%=3125.73.
4. We know, that x% equals 335.11 of the output value, so we can write it down as x%=335.11.
5. Now we have two simple equations:
1) 100%=3125.73
2) x%=335.11
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%=3125.73/335.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 335.11 is what percent of 3125.73

100%/x%=3125.73/335.11
(100/x)*x=(3125.73/335.11)*x       - we multiply both sides of the equation by x
100=9.327474560592*x       - we divide both sides of the equation by (9.327474560592) to get x
100/9.327474560592=x
10.721015570763=x
x=10.721015570763

now we have:
335.11 is 10.721015570763% of 3125.73