What is 59.25 percent of 65 - 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 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 is 100%, so we can write it down as 65=100%.
4. We know, that x is 59.25% of the output value, so we can write it down as x=59.25%.
5. Now we have two simple equations:
1) 65=100%
2) x=59.25%
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/x=100%/59.25%
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 59.25% of 65

65/x=100/59.25
(65/x)*x=(100/59.25)*x       - we multiply both sides of the equation by x
65=1.6877637130802*x       - we divide both sides of the equation by (1.6877637130802) to get x
65/1.6877637130802=x
38.5125=x
x=38.5125

now we have:
59.25% of 65=38.5125