What is 6.29 percent of 2.299 - 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 2.299 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 2.299 is 100%, so we can write it down as 2.299=100%.
4. We know, that x is 6.29% of the output value, so we can write it down as x=6.29%.
5. Now we have two simple equations:
1) 2.299=100%
2) x=6.29%
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:
2.299/x=100%/6.29%
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 6.29% of 2.299

2.299/x=100/6.29
(2.299/x)*x=(100/6.29)*x       - we multiply both sides of the equation by x
2.299=15.898251192369*x       - we divide both sides of the equation by (15.898251192369) to get x
2.299/15.898251192369=x
0.1446071=x
x=0.1446071

now we have:
6.29% of 2.299=0.1446071