390.99 is what percent of 10113.24 - 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 10113.24 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 10113.24, so we can write it down as 100%=10113.24.
4. We know, that x% equals 390.99 of the output value, so we can write it down as x%=390.99.
5. Now we have two simple equations:
1) 100%=10113.24
2) x%=390.99
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%=10113.24/390.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 390.99 is what percent of 10113.24

100%/x%=10113.24/390.99
(100/x)*x=(10113.24/390.99)*x       - we multiply both sides of the equation by x
100=25.865725466124*x       - we divide both sides of the equation by (25.865725466124) to get x
100/25.865725466124=x
3.8661200564804=x
x=3.8661200564804

now we have:
390.99 is 3.8661200564804% of 10113.24