5 is what percent of 279.95 - 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 279.95 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 279.95, so we can write it down as 100%=279.95.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=279.95
2) x%=5
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%=279.95/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 279.95

100%/x%=279.95/5
(100/x)*x=(279.95/5)*x       - we multiply both sides of the equation by x
100=55.99*x       - we divide both sides of the equation by (55.99) to get x
100/55.99=x
1.7860332202179=x
x=1.7860332202179

now we have:
5 is 1.7860332202179% of 279.95