What is 106.5 percent of 365 - 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 365 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 365 is 100%, so we can write it down as 365=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) 365=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:
365/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 365

365/x=100/106.5
(365/x)*x=(100/106.5)*x       - we multiply both sides of the equation by x
365=0.93896713615023*x       - we divide both sides of the equation by (0.93896713615023) to get x
365/0.93896713615023=x
388.725=x
x=388.725

now we have:
106.5% of 365=388.725