146 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 146 of the output value, so we can write it down as x%=146.
5. Now we have two simple equations:
1) 100%=9
2) x%=146
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%=9/146
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146 is what percent of 9

100%/x%=9/146
(100/x)*x=(9/146)*x       - we multiply both sides of the equation by x
100=0.061643835616438*x       - we divide both sides of the equation by (0.061643835616438) to get x
100/0.061643835616438=x
1622.2222222222=x
x=1622.2222222222

now we have:
146 is 1622.2222222222% of 9