7.756 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 7.756 of the output value, so we can write it down as x%=7.756.
5. Now we have two simple equations:
1) 100%=9
2) x%=7.756
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%=9/7.756
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.756 is what percent of 9

100%/x%=9/7.756
(100/x)*x=(9/7.756)*x       - we multiply both sides of the equation by x
100=1.1603919546158*x       - we divide both sides of the equation by (1.1603919546158) to get x
100/1.1603919546158=x
86.177777777778=x
x=86.177777777778

now we have:
7.756 is 86.177777777778% of 9