383.57 is what percent of 3691.44 - 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 3691.44 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 3691.44, so we can write it down as 100%=3691.44.
4. We know, that x% equals 383.57 of the output value, so we can write it down as x%=383.57.
5. Now we have two simple equations:
1) 100%=3691.44
2) x%=383.57
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%=3691.44/383.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 383.57 is what percent of 3691.44

100%/x%=3691.44/383.57
(100/x)*x=(3691.44/383.57)*x       - we multiply both sides of the equation by x
100=9.6239017649973*x       - we divide both sides of the equation by (9.6239017649973) to get x
100/9.6239017649973=x
10.390796003728=x
x=10.390796003728

now we have:
383.57 is 10.390796003728% of 3691.44