33.19 is what percent of 229.5 - 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 229.5 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 229.5, so we can write it down as 100%=229.5.
4. We know, that x% equals 33.19 of the output value, so we can write it down as x%=33.19.
5. Now we have two simple equations:
1) 100%=229.5
2) x%=33.19
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%=229.5/33.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.19 is what percent of 229.5

100%/x%=229.5/33.19
(100/x)*x=(229.5/33.19)*x       - we multiply both sides of the equation by x
100=6.9147333534197*x       - we divide both sides of the equation by (6.9147333534197) to get x
100/6.9147333534197=x
14.461873638344=x
x=14.461873638344

now we have:
33.19 is 14.461873638344% of 229.5