9234.4 is what percent of 9520 - 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 9520 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 9520, so we can write it down as 100%=9520.
4. We know, that x% equals 9234.4 of the output value, so we can write it down as x%=9234.4.
5. Now we have two simple equations:
1) 100%=9520
2) x%=9234.4
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%=9520/9234.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9234.4 is what percent of 9520

100%/x%=9520/9234.4
(100/x)*x=(9520/9234.4)*x       - we multiply both sides of the equation by x
100=1.0309278350515*x       - we divide both sides of the equation by (1.0309278350515) to get x
100/1.0309278350515=x
97=x
x=97

now we have:
9234.4 is 97% of 9520