33 is what percent of 71.83 - 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 71.83 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 71.83, so we can write it down as 100%=71.83.
4. We know, that x% equals 33 of the output value, so we can write it down as x%=33.
5. Now we have two simple equations:
1) 100%=71.83
2) x%=33
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%=71.83/33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33 is what percent of 71.83

100%/x%=71.83/33
(100/x)*x=(71.83/33)*x       - we multiply both sides of the equation by x
100=2.1766666666667*x       - we divide both sides of the equation by (2.1766666666667) to get x
100/2.1766666666667=x
45.94180704441=x
x=45.94180704441

now we have:
33 is 45.94180704441% of 71.83