2.84 is what percent of 18.7 - 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 18.7 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 18.7, so we can write it down as 100%=18.7.
4. We know, that x% equals 2.84 of the output value, so we can write it down as x%=2.84.
5. Now we have two simple equations:
1) 100%=18.7
2) x%=2.84
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%=18.7/2.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.84 is what percent of 18.7

100%/x%=18.7/2.84
(100/x)*x=(18.7/2.84)*x       - we multiply both sides of the equation by x
100=6.5845070422535*x       - we divide both sides of the equation by (6.5845070422535) to get x
100/6.5845070422535=x
15.187165775401=x
x=15.187165775401

now we have:
2.84 is 15.187165775401% of 18.7