What is 85.9 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 85.9% of the output value, so we can write it down as x=85.9%.
5. Now we have two simple equations:
1) 65=100%
2) x=85.9%
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%/85.9%
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 85.9% of 65

65/x=100/85.9
(65/x)*x=(100/85.9)*x       - we multiply both sides of the equation by x
65=1.1641443538999*x       - we divide both sides of the equation by (1.1641443538999) to get x
65/1.1641443538999=x
55.835=x
x=55.835

now we have:
85.9% of 65=55.835