218.33 is what percent of 3653.84 - 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 3653.84 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 3653.84, so we can write it down as 100%=3653.84.
4. We know, that x% equals 218.33 of the output value, so we can write it down as x%=218.33.
5. Now we have two simple equations:
1) 100%=3653.84
2) x%=218.33
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%=3653.84/218.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.33 is what percent of 3653.84

100%/x%=3653.84/218.33
(100/x)*x=(3653.84/218.33)*x       - we multiply both sides of the equation by x
100=16.735400540466*x       - we divide both sides of the equation by (16.735400540466) to get x
100/16.735400540466=x
5.9753574321809=x
x=5.9753574321809

now we have:
218.33 is 5.9753574321809% of 3653.84