What is 10.23 percent of 65.5 - 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 65.5 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 65.5 is 100%, so we can write it down as 65.5=100%.
4. We know, that x is 10.23% of the output value, so we can write it down as x=10.23%.
5. Now we have two simple equations:
1) 65.5=100%
2) x=10.23%
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:
65.5/x=100%/10.23%
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 10.23% of 65.5

65.5/x=100/10.23
(65.5/x)*x=(100/10.23)*x       - we multiply both sides of the equation by x
65.5=9.7751710654936*x       - we divide both sides of the equation by (9.7751710654936) to get x
65.5/9.7751710654936=x
6.70065=x
x=6.70065

now we have:
10.23% of 65.5=6.70065