216.48 is what percent of 1299.82 - 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 1299.82 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 100% equals 1299.82, so we can write it down as 100%=1299.82.
4. We know, that x% equals 216.48 of the output value, so we can write it down as x%=216.48.
5. Now we have two simple equations:
1) 100%=1299.82
2) x%=216.48
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:
100%/x%=1299.82/216.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.48 is what percent of 1299.82

100%/x%=1299.82/216.48
(100/x)*x=(1299.82/216.48)*x       - we multiply both sides of the equation by x
100=6.0043422025129*x       - we divide both sides of the equation by (6.0043422025129) to get x
100/6.0043422025129=x
16.654613715745=x
x=16.654613715745

now we have:
216.48 is 16.654613715745% of 1299.82