6.84 is what percent of 21.1 - 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 21.1 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 21.1, so we can write it down as 100%=21.1.
4. We know, that x% equals 6.84 of the output value, so we can write it down as x%=6.84.
5. Now we have two simple equations:
1) 100%=21.1
2) x%=6.84
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%=21.1/6.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.84 is what percent of 21.1

100%/x%=21.1/6.84
(100/x)*x=(21.1/6.84)*x       - we multiply both sides of the equation by x
100=3.0847953216374*x       - we divide both sides of the equation by (3.0847953216374) to get x
100/3.0847953216374=x
32.417061611374=x
x=32.417061611374

now we have:
6.84 is 32.417061611374% of 21.1