18.84 is what percent of 95.84 - 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 95.84 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 95.84, so we can write it down as 100%=95.84.
4. We know, that x% equals 18.84 of the output value, so we can write it down as x%=18.84.
5. Now we have two simple equations:
1) 100%=95.84
2) x%=18.84
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%=95.84/18.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.84 is what percent of 95.84

100%/x%=95.84/18.84
(100/x)*x=(95.84/18.84)*x       - we multiply both sides of the equation by x
100=5.0870488322718*x       - we divide both sides of the equation by (5.0870488322718) to get x
100/5.0870488322718=x
19.65776293823=x
x=19.65776293823

now we have:
18.84 is 19.65776293823% of 95.84