109.44 is what percent of 10948.09 - 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 10948.09 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 10948.09, so we can write it down as 100%=10948.09.
4. We know, that x% equals 109.44 of the output value, so we can write it down as x%=109.44.
5. Now we have two simple equations:
1) 100%=10948.09
2) x%=109.44
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%=10948.09/109.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.44 is what percent of 10948.09

100%/x%=10948.09/109.44
(100/x)*x=(10948.09/109.44)*x       - we multiply both sides of the equation by x
100=100.03737207602*x       - we divide both sides of the equation by (100.03737207602) to get x
100/100.03737207602=x
0.9996264188548=x
x=0.9996264188548

now we have:
109.44 is 0.9996264188548% of 10948.09