4.04 is what percent of 11.19 - 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 11.19 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 11.19, so we can write it down as 100%=11.19.
4. We know, that x% equals 4.04 of the output value, so we can write it down as x%=4.04.
5. Now we have two simple equations:
1) 100%=11.19
2) x%=4.04
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%=11.19/4.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.04 is what percent of 11.19

100%/x%=11.19/4.04
(100/x)*x=(11.19/4.04)*x       - we multiply both sides of the equation by x
100=2.769801980198*x       - we divide both sides of the equation by (2.769801980198) to get x
100/2.769801980198=x
36.103663985702=x
x=36.103663985702

now we have:
4.04 is 36.103663985702% of 11.19