7.72 is what percent of 9.56 - 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 9.56 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 9.56, so we can write it down as 100%=9.56.
4. We know, that x% equals 7.72 of the output value, so we can write it down as x%=7.72.
5. Now we have two simple equations:
1) 100%=9.56
2) x%=7.72
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%=9.56/7.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.72 is what percent of 9.56

100%/x%=9.56/7.72
(100/x)*x=(9.56/7.72)*x       - we multiply both sides of the equation by x
100=1.2383419689119*x       - we divide both sides of the equation by (1.2383419689119) to get x
100/1.2383419689119=x
80.753138075314=x
x=80.753138075314

now we have:
7.72 is 80.753138075314% of 9.56