18.8 is what percent of 2.82 - 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 2.82 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 2.82, so we can write it down as 100%=2.82.
4. We know, that x% equals 18.8 of the output value, so we can write it down as x%=18.8.
5. Now we have two simple equations:
1) 100%=2.82
2) x%=18.8
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%=2.82/18.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.8 is what percent of 2.82

100%/x%=2.82/18.8
(100/x)*x=(2.82/18.8)*x       - we multiply both sides of the equation by x
100=0.15*x       - we divide both sides of the equation by (0.15) to get x
100/0.15=x
666.66666666667=x
x=666.66666666667

now we have:
18.8 is 666.66666666667% of 2.82