38.99 is what percent of 1299.69 - 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 1299.69 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 1299.69, so we can write it down as 100%=1299.69.
4. We know, that x% equals 38.99 of the output value, so we can write it down as x%=38.99.
5. Now we have two simple equations:
1) 100%=1299.69
2) x%=38.99
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%=1299.69/38.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.99 is what percent of 1299.69

100%/x%=1299.69/38.99
(100/x)*x=(1299.69/38.99)*x       - we multiply both sides of the equation by x
100=33.333931777379*x       - we divide both sides of the equation by (33.333931777379) to get x
100/33.333931777379=x
2.9999461410029=x
x=2.9999461410029

now we have:
38.99 is 2.9999461410029% of 1299.69