395.58 is what percent of 9500 - 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 9500 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 9500, so we can write it down as 100%=9500.
4. We know, that x% equals 395.58 of the output value, so we can write it down as x%=395.58.
5. Now we have two simple equations:
1) 100%=9500
2) x%=395.58
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%=9500/395.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 395.58 is what percent of 9500

100%/x%=9500/395.58
(100/x)*x=(9500/395.58)*x       - we multiply both sides of the equation by x
100=24.015369836695*x       - we divide both sides of the equation by (24.015369836695) to get x
100/24.015369836695=x
4.164=x
x=4.164

now we have:
395.58 is 4.164% of 9500