9 is what percent of 1.26 - 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 1.26 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 1.26, so we can write it down as 100%=1.26.
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%=1.26
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%=1.26/9
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 1.26

100%/x%=1.26/9
(100/x)*x=(1.26/9)*x       - we multiply both sides of the equation by x
100=0.14*x       - we divide both sides of the equation by (0.14) to get x
100/0.14=x
714.28571428571=x
x=714.28571428571

now we have:
9 is 714.28571428571% of 1.26