10.44 is what percent of 114.4 - 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 114.4 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 114.4, so we can write it down as 100%=114.4.
4. We know, that x% equals 10.44 of the output value, so we can write it down as x%=10.44.
5. Now we have two simple equations:
1) 100%=114.4
2) x%=10.44
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%=114.4/10.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.44 is what percent of 114.4

100%/x%=114.4/10.44
(100/x)*x=(114.4/10.44)*x       - we multiply both sides of the equation by x
100=10.95785440613*x       - we divide both sides of the equation by (10.95785440613) to get x
100/10.95785440613=x
9.1258741258741=x
x=9.1258741258741

now we have:
10.44 is 9.1258741258741% of 114.4