5.03 is what percent of 33.03 - 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 33.03 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 33.03, so we can write it down as 100%=33.03.
4. We know, that x% equals 5.03 of the output value, so we can write it down as x%=5.03.
5. Now we have two simple equations:
1) 100%=33.03
2) x%=5.03
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%=33.03/5.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.03 is what percent of 33.03

100%/x%=33.03/5.03
(100/x)*x=(33.03/5.03)*x       - we multiply both sides of the equation by x
100=6.5666003976143*x       - we divide both sides of the equation by (6.5666003976143) to get x
100/6.5666003976143=x
15.228580078716=x
x=15.228580078716

now we have:
5.03 is 15.228580078716% of 33.03