80.06 is what percent of 279.75 - 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 279.75 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 279.75, so we can write it down as 100%=279.75.
4. We know, that x% equals 80.06 of the output value, so we can write it down as x%=80.06.
5. Now we have two simple equations:
1) 100%=279.75
2) x%=80.06
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%=279.75/80.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.06 is what percent of 279.75

100%/x%=279.75/80.06
(100/x)*x=(279.75/80.06)*x       - we multiply both sides of the equation by x
100=3.494254309268*x       - we divide both sides of the equation by (3.494254309268) to get x
100/3.494254309268=x
28.618409294013=x
x=28.618409294013

now we have:
80.06 is 28.618409294013% of 279.75