What is 25.05 percent of 25.05 - 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 25.05 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 25.05 is 100%, so we can write it down as 25.05=100%.
4. We know, that x is 25.05% of the output value, so we can write it down as x=25.05%.
5. Now we have two simple equations:
1) 25.05=100%
2) x=25.05%
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:
25.05/x=100%/25.05%
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 25.05% of 25.05

25.05/x=100/25.05
(25.05/x)*x=(100/25.05)*x       - we multiply both sides of the equation by x
25.05=3.9920159680639*x       - we divide both sides of the equation by (3.9920159680639) to get x
25.05/3.9920159680639=x
6.275025=x
x=6.275025

now we have:
25.05% of 25.05=6.275025