What is 11.05 percent of 10.5 - 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 10.5 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 10.5 is 100%, so we can write it down as 10.5=100%.
4. We know, that x is 11.05% of the output value, so we can write it down as x=11.05%.
5. Now we have two simple equations:
1) 10.5=100%
2) x=11.05%
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:
10.5/x=100%/11.05%
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 11.05% of 10.5

10.5/x=100/11.05
(10.5/x)*x=(100/11.05)*x       - we multiply both sides of the equation by x
10.5=9.0497737556561*x       - we divide both sides of the equation by (9.0497737556561) to get x
10.5/9.0497737556561=x
1.16025=x
x=1.16025

now we have:
11.05% of 10.5=1.16025