What is 10.5 percent of 1.05 - 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 1.05 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 1.05 is 100%, so we can write it down as 1.05=100%.
4. We know, that x is 10.5% of the output value, so we can write it down as x=10.5%.
5. Now we have two simple equations:
1) 1.05=100%
2) x=10.5%
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:
1.05/x=100%/10.5%
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 10.5% of 1.05

1.05/x=100/10.5
(1.05/x)*x=(100/10.5)*x       - we multiply both sides of the equation by x
1.05=9.5238095238095*x       - we divide both sides of the equation by (9.5238095238095) to get x
1.05/9.5238095238095=x
0.11025=x
x=0.11025

now we have:
10.5% of 1.05=0.11025