What is 35.65 percent of 216.99 - 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 216.99 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 216.99 is 100%, so we can write it down as 216.99=100%.
4. We know, that x is 35.65% of the output value, so we can write it down as x=35.65%.
5. Now we have two simple equations:
1) 216.99=100%
2) x=35.65%
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:
216.99/x=100%/35.65%
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 35.65% of 216.99

216.99/x=100/35.65
(216.99/x)*x=(100/35.65)*x       - we multiply both sides of the equation by x
216.99=2.805049088359*x       - we divide both sides of the equation by (2.805049088359) to get x
216.99/2.805049088359=x
77.356935=x
x=77.356935

now we have:
35.65% of 216.99=77.356935