11.09 is what percent of 27.45 - 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 27.45 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 27.45, so we can write it down as 100%=27.45.
4. We know, that x% equals 11.09 of the output value, so we can write it down as x%=11.09.
5. Now we have two simple equations:
1) 100%=27.45
2) x%=11.09
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%=27.45/11.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.09 is what percent of 27.45

100%/x%=27.45/11.09
(100/x)*x=(27.45/11.09)*x       - we multiply both sides of the equation by x
100=2.4752028854824*x       - we divide both sides of the equation by (2.4752028854824) to get x
100/2.4752028854824=x
40.40072859745=x
x=40.40072859745

now we have:
11.09 is 40.40072859745% of 27.45