11096.46 is what percent of 105368.12 - 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 105368.12 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 105368.12, so we can write it down as 100%=105368.12.
4. We know, that x% equals 11096.46 of the output value, so we can write it down as x%=11096.46.
5. Now we have two simple equations:
1) 100%=105368.12
2) x%=11096.46
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%=105368.12/11096.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11096.46 is what percent of 105368.12

100%/x%=105368.12/11096.46
(100/x)*x=(105368.12/11096.46)*x       - we multiply both sides of the equation by x
100=9.4956517664192*x       - we divide both sides of the equation by (9.4956517664192) to get x
100/9.4956517664192=x
10.531135983066=x
x=10.531135983066

now we have:
11096.46 is 10.531135983066% of 105368.12