What is 525 percent of 0.11 - 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 0.11 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 0.11 is 100%, so we can write it down as 0.11=100%.
4. We know, that x is 525% of the output value, so we can write it down as x=525%.
5. Now we have two simple equations:
1) 0.11=100%
2) x=525%
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:
0.11/x=100%/525%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 525% of 0.11

0.11/x=100/525
(0.11/x)*x=(100/525)*x       - we multiply both sides of the equation by x
0.11=0.19047619047619*x       - we divide both sides of the equation by (0.19047619047619) to get x
0.11/0.19047619047619=x
0.5775=x
x=0.5775

now we have:
525% of 0.11=0.5775