What is 62.2 percent of 6.2 - 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 6.2 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 6.2 is 100%, so we can write it down as 6.2=100%.
4. We know, that x is 62.2% of the output value, so we can write it down as x=62.2%.
5. Now we have two simple equations:
1) 6.2=100%
2) x=62.2%
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:
6.2/x=100%/62.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 62.2% of 6.2

6.2/x=100/62.2
(6.2/x)*x=(100/62.2)*x       - we multiply both sides of the equation by x
6.2=1.6077170418006*x       - we divide both sides of the equation by (1.6077170418006) to get x
6.2/1.6077170418006=x
3.8564=x
x=3.8564

now we have:
62.2% of 6.2=3.8564