29.99 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 29.99 of the output value, so we can write it down as x%=29.99.
5. Now we have two simple equations:
1) 100%=1299.99
2) x%=29.99
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%=1299.99/29.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.99 is what percent of 1299.99

100%/x%=1299.99/29.99
(100/x)*x=(1299.99/29.99)*x       - we multiply both sides of the equation by x
100=43.347449149717*x       - we divide both sides of the equation by (43.347449149717) to get x
100/43.347449149717=x
2.3069408226217=x
x=2.3069408226217

now we have:
29.99 is 2.3069408226217% of 1299.99