9 is what percent of 43.05 - 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 43.05 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 43.05, so we can write it down as 100%=43.05.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=43.05
2) x%=9
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%=43.05/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 43.05

100%/x%=43.05/9
(100/x)*x=(43.05/9)*x       - we multiply both sides of the equation by x
100=4.7833333333333*x       - we divide both sides of the equation by (4.7833333333333) to get x
100/4.7833333333333=x
20.905923344948=x
x=20.905923344948

now we have:
9 is 20.905923344948% of 43.05