11.18 is what percent of 153.84 - 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 153.84 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 153.84, so we can write it down as 100%=153.84.
4. We know, that x% equals 11.18 of the output value, so we can write it down as x%=11.18.
5. Now we have two simple equations:
1) 100%=153.84
2) x%=11.18
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%=153.84/11.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.18 is what percent of 153.84

100%/x%=153.84/11.18
(100/x)*x=(153.84/11.18)*x       - we multiply both sides of the equation by x
100=13.760286225403*x       - we divide both sides of the equation by (13.760286225403) to get x
100/13.760286225403=x
7.2672906916277=x
x=7.2672906916277

now we have:
11.18 is 7.2672906916277% of 153.84