9.66 is what percent of 27.3 - 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 27.3 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 27.3, so we can write it down as 100%=27.3.
4. We know, that x% equals 9.66 of the output value, so we can write it down as x%=9.66.
5. Now we have two simple equations:
1) 100%=27.3
2) x%=9.66
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%=27.3/9.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.66 is what percent of 27.3

100%/x%=27.3/9.66
(100/x)*x=(27.3/9.66)*x       - we multiply both sides of the equation by x
100=2.8260869565217*x       - we divide both sides of the equation by (2.8260869565217) to get x
100/2.8260869565217=x
35.384615384615=x
x=35.384615384615

now we have:
9.66 is 35.384615384615% of 27.3