32.99 is what percent of 109.99 - 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 109.99 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 109.99, so we can write it down as 100%=109.99.
4. We know, that x% equals 32.99 of the output value, so we can write it down as x%=32.99.
5. Now we have two simple equations:
1) 100%=109.99
2) x%=32.99
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%=109.99/32.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.99 is what percent of 109.99

100%/x%=109.99/32.99
(100/x)*x=(109.99/32.99)*x       - we multiply both sides of the equation by x
100=3.3340406183692*x       - we divide both sides of the equation by (3.3340406183692) to get x
100/3.3340406183692=x
29.993635785071=x
x=29.993635785071

now we have:
32.99 is 29.993635785071% of 109.99