218.79 is what percent of 1299.99 - 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 1299.99 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 100% equals 1299.99, so we can write it down as 100%=1299.99.
4. We know, that x% equals 218.79 of the output value, so we can write it down as x%=218.79.
5. Now we have two simple equations:
1) 100%=1299.99
2) x%=218.79
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%=1299.99/218.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.79 is what percent of 1299.99

100%/x%=1299.99/218.79
(100/x)*x=(1299.99/218.79)*x       - we multiply both sides of the equation by x
100=5.9417249417249*x       - we divide both sides of the equation by (5.9417249417249) to get x
100/5.9417249417249=x
16.830129462534=x
x=16.830129462534

now we have:
218.79 is 16.830129462534% of 1299.99