What is 10.3 percent of 106.5 - 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 106.5 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 106.5 is 100%, so we can write it down as 106.5=100%.
4. We know, that x is 10.3% of the output value, so we can write it down as x=10.3%.
5. Now we have two simple equations:
1) 106.5=100%
2) x=10.3%
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:
106.5/x=100%/10.3%
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 10.3% of 106.5

106.5/x=100/10.3
(106.5/x)*x=(100/10.3)*x       - we multiply both sides of the equation by x
106.5=9.7087378640777*x       - we divide both sides of the equation by (9.7087378640777) to get x
106.5/9.7087378640777=x
10.9695=x
x=10.9695

now we have:
10.3% of 106.5=10.9695