34.92 is what percent of 47 - 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 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, so we can write it down as 100%=47.
4. We know, that x% equals 34.92 of the output value, so we can write it down as x%=34.92.
5. Now we have two simple equations:
1) 100%=47
2) x%=34.92
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%=47/34.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.92 is what percent of 47

100%/x%=47/34.92
(100/x)*x=(47/34.92)*x       - we multiply both sides of the equation by x
100=1.3459335624284*x       - we divide both sides of the equation by (1.3459335624284) to get x
100/1.3459335624284=x
74.297872340426=x
x=74.297872340426

now we have:
34.92 is 74.297872340426% of 47