9271.43 is what percent of 6.5 - 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 6.5 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 6.5, so we can write it down as 100%=6.5.
4. We know, that x% equals 9271.43 of the output value, so we can write it down as x%=9271.43.
5. Now we have two simple equations:
1) 100%=6.5
2) x%=9271.43
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%=6.5/9271.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9271.43 is what percent of 6.5

100%/x%=6.5/9271.43
(100/x)*x=(6.5/9271.43)*x       - we multiply both sides of the equation by x
100=0.0007010784744101*x       - we divide both sides of the equation by (0.0007010784744101) to get x
100/0.0007010784744101=x
142637.38461538=x
x=142637.38461538

now we have:
9271.43 is 142637.38461538% of 6.5