33.23 is what percent of 47.12 - 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 47.12 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 47.12, so we can write it down as 100%=47.12.
4. We know, that x% equals 33.23 of the output value, so we can write it down as x%=33.23.
5. Now we have two simple equations:
1) 100%=47.12
2) x%=33.23
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%=47.12/33.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.23 is what percent of 47.12

100%/x%=47.12/33.23
(100/x)*x=(47.12/33.23)*x       - we multiply both sides of the equation by x
100=1.4179957869395*x       - we divide both sides of the equation by (1.4179957869395) to get x
100/1.4179957869395=x
70.522071307301=x
x=70.522071307301

now we have:
33.23 is 70.522071307301% of 47.12