33.43 is what percent of 204 - 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 204 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 204, so we can write it down as 100%=204.
4. We know, that x% equals 33.43 of the output value, so we can write it down as x%=33.43.
5. Now we have two simple equations:
1) 100%=204
2) x%=33.43
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%=204/33.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.43 is what percent of 204

100%/x%=204/33.43
(100/x)*x=(204/33.43)*x       - we multiply both sides of the equation by x
100=6.1023033203709*x       - we divide both sides of the equation by (6.1023033203709) to get x
100/6.1023033203709=x
16.387254901961=x
x=16.387254901961

now we have:
33.43 is 16.387254901961% of 204