6.2 is what percent of 199.8 - 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 199.8 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 199.8, so we can write it down as 100%=199.8.
4. We know, that x% equals 6.2 of the output value, so we can write it down as x%=6.2.
5. Now we have two simple equations:
1) 100%=199.8
2) x%=6.2
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%=199.8/6.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.2 is what percent of 199.8

100%/x%=199.8/6.2
(100/x)*x=(199.8/6.2)*x       - we multiply both sides of the equation by x
100=32.225806451613*x       - we divide both sides of the equation by (32.225806451613) to get x
100/32.225806451613=x
3.1031031031031=x
x=3.1031031031031

now we have:
6.2 is 3.1031031031031% of 199.8