What is 12.05 percent of 12.5 - 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 12.5 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 12.5 is 100%, so we can write it down as 12.5=100%.
4. We know, that x is 12.05% of the output value, so we can write it down as x=12.05%.
5. Now we have two simple equations:
1) 12.5=100%
2) x=12.05%
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:
12.5/x=100%/12.05%
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 12.05% of 12.5

12.5/x=100/12.05
(12.5/x)*x=(100/12.05)*x       - we multiply both sides of the equation by x
12.5=8.298755186722*x       - we divide both sides of the equation by (8.298755186722) to get x
12.5/8.298755186722=x
1.50625=x
x=1.50625

now we have:
12.05% of 12.5=1.50625