9825.2 is what percent of 47518.24 - 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 47518.24 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 47518.24, so we can write it down as 100%=47518.24.
4. We know, that x% equals 9825.2 of the output value, so we can write it down as x%=9825.2.
5. Now we have two simple equations:
1) 100%=47518.24
2) x%=9825.2
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%=47518.24/9825.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9825.2 is what percent of 47518.24

100%/x%=47518.24/9825.2
(100/x)*x=(47518.24/9825.2)*x       - we multiply both sides of the equation by x
100=4.8363636363636*x       - we divide both sides of the equation by (4.8363636363636) to get x
100/4.8363636363636=x
20.676691729323=x
x=20.676691729323

now we have:
9825.2 is 20.676691729323% of 47518.24