What is 55.99 percent of 65.99 - 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 65.99 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 65.99 is 100%, so we can write it down as 65.99=100%.
4. We know, that x is 55.99% of the output value, so we can write it down as x=55.99%.
5. Now we have two simple equations:
1) 65.99=100%
2) x=55.99%
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:
65.99/x=100%/55.99%
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 55.99% of 65.99

65.99/x=100/55.99
(65.99/x)*x=(100/55.99)*x       - we multiply both sides of the equation by x
65.99=1.7860332202179*x       - we divide both sides of the equation by (1.7860332202179) to get x
65.99/1.7860332202179=x
36.947801=x
x=36.947801

now we have:
55.99% of 65.99=36.947801