0.11 is what percent of 146 - 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 146 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 146, so we can write it down as 100%=146.
4. We know, that x% equals 0.11 of the output value, so we can write it down as x%=0.11.
5. Now we have two simple equations:
1) 100%=146
2) x%=0.11
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%=146/0.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.11 is what percent of 146

100%/x%=146/0.11
(100/x)*x=(146/0.11)*x       - we multiply both sides of the equation by x
100=1327.2727272727*x       - we divide both sides of the equation by (1327.2727272727) to get x
100/1327.2727272727=x
0.075342465753425=x
x=0.075342465753425

now we have:
0.11 is 0.075342465753425% of 146