216.53 is what percent of 13709.36 - 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 13709.36 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 13709.36, so we can write it down as 100%=13709.36.
4. We know, that x% equals 216.53 of the output value, so we can write it down as x%=216.53.
5. Now we have two simple equations:
1) 100%=13709.36
2) x%=216.53
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%=13709.36/216.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.53 is what percent of 13709.36

100%/x%=13709.36/216.53
(100/x)*x=(13709.36/216.53)*x       - we multiply both sides of the equation by x
100=63.313905694361*x       - we divide both sides of the equation by (63.313905694361) to get x
100/63.313905694361=x
1.5794318626107=x
x=1.5794318626107

now we have:
216.53 is 1.5794318626107% of 13709.36