What is 106.5 percent of 10 - 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 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 is 100%, so we can write it down as 10=100%.
4. We know, that x is 106.5% of the output value, so we can write it down as x=106.5%.
5. Now we have two simple equations:
1) 10=100%
2) x=106.5%
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:
10/x=100%/106.5%
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 106.5% of 10

10/x=100/106.5
(10/x)*x=(100/106.5)*x       - we multiply both sides of the equation by x
10=0.93896713615023*x       - we divide both sides of the equation by (0.93896713615023) to get x
10/0.93896713615023=x
10.65=x
x=10.65

now we have:
106.5% of 10=10.65