0.03 is what percent of 33.09 - 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 33.09 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 33.09, so we can write it down as 100%=33.09.
4. We know, that x% equals 0.03 of the output value, so we can write it down as x%=0.03.
5. Now we have two simple equations:
1) 100%=33.09
2) x%=0.03
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%=33.09/0.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.03 is what percent of 33.09

100%/x%=33.09/0.03
(100/x)*x=(33.09/0.03)*x       - we multiply both sides of the equation by x
100=1103*x       - we divide both sides of the equation by (1103) to get x
100/1103=x
0.090661831368994=x
x=0.090661831368994

now we have:
0.03 is 0.090661831368994% of 33.09