What is 5.9 percent of 49.6 - 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 49.6 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 49.6 is 100%, so we can write it down as 49.6=100%.
4. We know, that x is 5.9% of the output value, so we can write it down as x=5.9%.
5. Now we have two simple equations:
1) 49.6=100%
2) x=5.9%
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:
49.6/x=100%/5.9%
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 5.9% of 49.6

49.6/x=100/5.9
(49.6/x)*x=(100/5.9)*x       - we multiply both sides of the equation by x
49.6=16.949152542373*x       - we divide both sides of the equation by (16.949152542373) to get x
49.6/16.949152542373=x
2.9264=x
x=2.9264

now we have:
5.9% of 49.6=2.9264