What is 6.27 percent of 49.976 - 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 49.976 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 49.976 is 100%, so we can write it down as 49.976=100%.
4. We know, that x is 6.27% of the output value, so we can write it down as x=6.27%.
5. Now we have two simple equations:
1) 49.976=100%
2) x=6.27%
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:
49.976/x=100%/6.27%
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 6.27% of 49.976

49.976/x=100/6.27
(49.976/x)*x=(100/6.27)*x       - we multiply both sides of the equation by x
49.976=15.948963317384*x       - we divide both sides of the equation by (15.948963317384) to get x
49.976/15.948963317384=x
3.1334952=x
x=3.1334952

now we have:
6.27% of 49.976=3.1334952