1407.85 is what percent of 3805 - 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 3805 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 3805, so we can write it down as 100%=3805.
4. We know, that x% equals 1407.85 of the output value, so we can write it down as x%=1407.85.
5. Now we have two simple equations:
1) 100%=3805
2) x%=1407.85
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%=3805/1407.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1407.85 is what percent of 3805

100%/x%=3805/1407.85
(100/x)*x=(3805/1407.85)*x       - we multiply both sides of the equation by x
100=2.7027027027027*x       - we divide both sides of the equation by (2.7027027027027) to get x
100/2.7027027027027=x
37=x
x=37

now we have:
1407.85 is 37% of 3805