216.52 is what percent of 16739.6 - 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 16739.6 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 16739.6, so we can write it down as 100%=16739.6.
4. We know, that x% equals 216.52 of the output value, so we can write it down as x%=216.52.
5. Now we have two simple equations:
1) 100%=16739.6
2) x%=216.52
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%=16739.6/216.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.52 is what percent of 16739.6

100%/x%=16739.6/216.52
(100/x)*x=(16739.6/216.52)*x       - we multiply both sides of the equation by x
100=77.312026602623*x       - we divide both sides of the equation by (77.312026602623) to get x
100/77.312026602623=x
1.2934598198284=x
x=1.2934598198284

now we have:
216.52 is 1.2934598198284% of 16739.6