8.44 is what percent of 9.14 - 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 9.14 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 9.14, so we can write it down as 100%=9.14.
4. We know, that x% equals 8.44 of the output value, so we can write it down as x%=8.44.
5. Now we have two simple equations:
1) 100%=9.14
2) x%=8.44
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%=9.14/8.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.44 is what percent of 9.14

100%/x%=9.14/8.44
(100/x)*x=(9.14/8.44)*x       - we multiply both sides of the equation by x
100=1.0829383886256*x       - we divide both sides of the equation by (1.0829383886256) to get x
100/1.0829383886256=x
92.341356673961=x
x=92.341356673961

now we have:
8.44 is 92.341356673961% of 9.14