0.33 is what percent of 3.03 - 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 3.03 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 3.03, so we can write it down as 100%=3.03.
4. We know, that x% equals 0.33 of the output value, so we can write it down as x%=0.33.
5. Now we have two simple equations:
1) 100%=3.03
2) x%=0.33
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%=3.03/0.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.33 is what percent of 3.03

100%/x%=3.03/0.33
(100/x)*x=(3.03/0.33)*x       - we multiply both sides of the equation by x
100=9.1818181818182*x       - we divide both sides of the equation by (9.1818181818182) to get x
100/9.1818181818182=x
10.891089108911=x
x=10.891089108911

now we have:
0.33 is 10.891089108911% of 3.03