0.11 is what percent of 0.21 - 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 0.21 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 0.21, so we can write it down as 100%=0.21.
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%=0.21
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%=0.21/0.11
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 0.21

100%/x%=0.21/0.11
(100/x)*x=(0.21/0.11)*x       - we multiply both sides of the equation by x
100=1.9090909090909*x       - we divide both sides of the equation by (1.9090909090909) to get x
100/1.9090909090909=x
52.380952380952=x
x=52.380952380952

now we have:
0.11 is 52.380952380952% of 0.21