9.75 is what percent of 127.37 - 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 127.37 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 127.37, so we can write it down as 100%=127.37.
4. We know, that x% equals 9.75 of the output value, so we can write it down as x%=9.75.
5. Now we have two simple equations:
1) 100%=127.37
2) x%=9.75
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%=127.37/9.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.75 is what percent of 127.37

100%/x%=127.37/9.75
(100/x)*x=(127.37/9.75)*x       - we multiply both sides of the equation by x
100=13.06358974359*x       - we divide both sides of the equation by (13.06358974359) to get x
100/13.06358974359=x
7.6548637826804=x
x=7.6548637826804

now we have:
9.75 is 7.6548637826804% of 127.37