33.33 is what percent of 470 - 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 470 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 470, so we can write it down as 100%=470.
4. We know, that x% equals 33.33 of the output value, so we can write it down as x%=33.33.
5. Now we have two simple equations:
1) 100%=470
2) x%=33.33
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%=470/33.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.33 is what percent of 470

100%/x%=470/33.33
(100/x)*x=(470/33.33)*x       - we multiply both sides of the equation by x
100=14.101410141014*x       - we divide both sides of the equation by (14.101410141014) to get x
100/14.101410141014=x
7.0914893617021=x
x=7.0914893617021

now we have:
33.33 is 7.0914893617021% of 470