What is 100.15 percent of 0.15 - 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 0.15 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 0.15 is 100%, so we can write it down as 0.15=100%.
4. We know, that x is 100.15% of the output value, so we can write it down as x=100.15%.
5. Now we have two simple equations:
1) 0.15=100%
2) x=100.15%
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:
0.15/x=100%/100.15%
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 100.15% of 0.15

0.15/x=100/100.15
(0.15/x)*x=(100/100.15)*x       - we multiply both sides of the equation by x
0.15=0.99850224663005*x       - we divide both sides of the equation by (0.99850224663005) to get x
0.15/0.99850224663005=x
0.150225=x
x=0.150225

now we have:
100.15% of 0.15=0.150225