2.99 is what percent of 33 - 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 33 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 33, so we can write it down as 100%=33.
4. We know, that x% equals 2.99 of the output value, so we can write it down as x%=2.99.
5. Now we have two simple equations:
1) 100%=33
2) x%=2.99
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%=33/2.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.99 is what percent of 33

100%/x%=33/2.99
(100/x)*x=(33/2.99)*x       - we multiply both sides of the equation by x
100=11.036789297659*x       - we divide both sides of the equation by (11.036789297659) to get x
100/11.036789297659=x
9.0606060606061=x
x=9.0606060606061

now we have:
2.99 is 9.0606060606061% of 33