29.99 is what percent of 96.64 - 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 96.64 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 96.64, so we can write it down as 100%=96.64.
4. We know, that x% equals 29.99 of the output value, so we can write it down as x%=29.99.
5. Now we have two simple equations:
1) 100%=96.64
2) x%=29.99
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%=96.64/29.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.99 is what percent of 96.64

100%/x%=96.64/29.99
(100/x)*x=(96.64/29.99)*x       - we multiply both sides of the equation by x
100=3.2224074691564*x       - we divide both sides of the equation by (3.2224074691564) to get x
100/3.2224074691564=x
31.032698675497=x
x=31.032698675497

now we have:
29.99 is 31.032698675497% of 96.64