1031.8 is what percent of 9380 - 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 9380 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 9380, so we can write it down as 100%=9380.
4. We know, that x% equals 1031.8 of the output value, so we can write it down as x%=1031.8.
5. Now we have two simple equations:
1) 100%=9380
2) x%=1031.8
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%=9380/1031.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1031.8 is what percent of 9380

100%/x%=9380/1031.8
(100/x)*x=(9380/1031.8)*x       - we multiply both sides of the equation by x
100=9.0909090909091*x       - we divide both sides of the equation by (9.0909090909091) to get x
100/9.0909090909091=x
11=x
x=11

now we have:
1031.8 is 11% of 9380