9.44 is what percent of 10.55 - 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 10.55 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 10.55, so we can write it down as 100%=10.55.
4. We know, that x% equals 9.44 of the output value, so we can write it down as x%=9.44.
5. Now we have two simple equations:
1) 100%=10.55
2) x%=9.44
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%=10.55/9.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.44 is what percent of 10.55

100%/x%=10.55/9.44
(100/x)*x=(10.55/9.44)*x       - we multiply both sides of the equation by x
100=1.1175847457627*x       - we divide both sides of the equation by (1.1175847457627) to get x
100/1.1175847457627=x
89.478672985782=x
x=89.478672985782

now we have:
9.44 is 89.478672985782% of 10.55