6.22 is what percent of 18.84 - 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 18.84 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 18.84, so we can write it down as 100%=18.84.
4. We know, that x% equals 6.22 of the output value, so we can write it down as x%=6.22.
5. Now we have two simple equations:
1) 100%=18.84
2) x%=6.22
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%=18.84/6.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.22 is what percent of 18.84

100%/x%=18.84/6.22
(100/x)*x=(18.84/6.22)*x       - we multiply both sides of the equation by x
100=3.0289389067524*x       - we divide both sides of the equation by (3.0289389067524) to get x
100/3.0289389067524=x
33.014861995754=x
x=33.014861995754

now we have:
6.22 is 33.014861995754% of 18.84