3.23 is what percent of 8.99 - 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 8.99 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 8.99, so we can write it down as 100%=8.99.
4. We know, that x% equals 3.23 of the output value, so we can write it down as x%=3.23.
5. Now we have two simple equations:
1) 100%=8.99
2) x%=3.23
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%=8.99/3.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.23 is what percent of 8.99

100%/x%=8.99/3.23
(100/x)*x=(8.99/3.23)*x       - we multiply both sides of the equation by x
100=2.7832817337461*x       - we divide both sides of the equation by (2.7832817337461) to get x
100/2.7832817337461=x
35.928809788654=x
x=35.928809788654

now we have:
3.23 is 35.928809788654% of 8.99