33.03 is what percent of 303.75 - 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 303.75 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 303.75, so we can write it down as 100%=303.75.
4. We know, that x% equals 33.03 of the output value, so we can write it down as x%=33.03.
5. Now we have two simple equations:
1) 100%=303.75
2) x%=33.03
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%=303.75/33.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.03 is what percent of 303.75

100%/x%=303.75/33.03
(100/x)*x=(303.75/33.03)*x       - we multiply both sides of the equation by x
100=9.1961852861035*x       - we divide both sides of the equation by (9.1961852861035) to get x
100/9.1961852861035=x
10.874074074074=x
x=10.874074074074

now we have:
33.03 is 10.874074074074% of 303.75