What is 96.25 percent of 165.55 - 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 165.55 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 165.55 is 100%, so we can write it down as 165.55=100%.
4. We know, that x is 96.25% of the output value, so we can write it down as x=96.25%.
5. Now we have two simple equations:
1) 165.55=100%
2) x=96.25%
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:
165.55/x=100%/96.25%
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 96.25% of 165.55

165.55/x=100/96.25
(165.55/x)*x=(100/96.25)*x       - we multiply both sides of the equation by x
165.55=1.038961038961*x       - we divide both sides of the equation by (1.038961038961) to get x
165.55/1.038961038961=x
159.341875=x
x=159.341875

now we have:
96.25% of 165.55=159.341875