9478.4 is what percent of 11301.2 - 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 11301.2 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 11301.2, so we can write it down as 100%=11301.2.
4. We know, that x% equals 9478.4 of the output value, so we can write it down as x%=9478.4.
5. Now we have two simple equations:
1) 100%=11301.2
2) x%=9478.4
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%=11301.2/9478.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9478.4 is what percent of 11301.2

100%/x%=11301.2/9478.4
(100/x)*x=(11301.2/9478.4)*x       - we multiply both sides of the equation by x
100=1.192310938555*x       - we divide both sides of the equation by (1.192310938555) to get x
100/1.192310938555=x
83.870739390507=x
x=83.870739390507

now we have:
9478.4 is 83.870739390507% of 11301.2