79.99 is what percent of 279.99 - 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 279.99 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 279.99, so we can write it down as 100%=279.99.
4. We know, that x% equals 79.99 of the output value, so we can write it down as x%=79.99.
5. Now we have two simple equations:
1) 100%=279.99
2) x%=79.99
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%=279.99/79.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.99 is what percent of 279.99

100%/x%=279.99/79.99
(100/x)*x=(279.99/79.99)*x       - we multiply both sides of the equation by x
100=3.5003125390674*x       - we divide both sides of the equation by (3.5003125390674) to get x
100/3.5003125390674=x
28.568877459909=x
x=28.568877459909

now we have:
79.99 is 28.568877459909% of 279.99