What is 53 percent of 0.53 - 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 0.53 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 0.53 is 100%, so we can write it down as 0.53=100%.
4. We know, that x is 53% of the output value, so we can write it down as x=53%.
5. Now we have two simple equations:
1) 0.53=100%
2) x=53%
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:
0.53/x=100%/53%
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 53% of 0.53

0.53/x=100/53
(0.53/x)*x=(100/53)*x       - we multiply both sides of the equation by x
0.53=1.8867924528302*x       - we divide both sides of the equation by (1.8867924528302) to get x
0.53/1.8867924528302=x
0.2809=x
x=0.2809

now we have:
53% of 0.53=0.2809