9.26 is what percent of 46.29 - 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 46.29 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 46.29, so we can write it down as 100%=46.29.
4. We know, that x% equals 9.26 of the output value, so we can write it down as x%=9.26.
5. Now we have two simple equations:
1) 100%=46.29
2) x%=9.26
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%=46.29/9.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.26 is what percent of 46.29

100%/x%=46.29/9.26
(100/x)*x=(46.29/9.26)*x       - we multiply both sides of the equation by x
100=4.9989200863931*x       - we divide both sides of the equation by (4.9989200863931) to get x
100/4.9989200863931=x
20.0043205876=x
x=20.0043205876

now we have:
9.26 is 20.0043205876% of 46.29