9.46 is what percent of 144.12 - 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 144.12 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 144.12, so we can write it down as 100%=144.12.
4. We know, that x% equals 9.46 of the output value, so we can write it down as x%=9.46.
5. Now we have two simple equations:
1) 100%=144.12
2) x%=9.46
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%=144.12/9.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.46 is what percent of 144.12

100%/x%=144.12/9.46
(100/x)*x=(144.12/9.46)*x       - we multiply both sides of the equation by x
100=15.23467230444*x       - we divide both sides of the equation by (15.23467230444) to get x
100/15.23467230444=x
6.563974465723=x
x=6.563974465723

now we have:
9.46 is 6.563974465723% of 144.12