18.82 is what percent of 278.91 - 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 278.91 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 278.91, so we can write it down as 100%=278.91.
4. We know, that x% equals 18.82 of the output value, so we can write it down as x%=18.82.
5. Now we have two simple equations:
1) 100%=278.91
2) x%=18.82
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%=278.91/18.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.82 is what percent of 278.91

100%/x%=278.91/18.82
(100/x)*x=(278.91/18.82)*x       - we multiply both sides of the equation by x
100=14.819872476089*x       - we divide both sides of the equation by (14.819872476089) to get x
100/14.819872476089=x
6.7476963895163=x
x=6.7476963895163

now we have:
18.82 is 6.7476963895163% of 278.91