What is 19.9 percent of 59.6 - 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 59.6 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 59.6 is 100%, so we can write it down as 59.6=100%.
4. We know, that x is 19.9% of the output value, so we can write it down as x=19.9%.
5. Now we have two simple equations:
1) 59.6=100%
2) x=19.9%
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:
59.6/x=100%/19.9%
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 19.9% of 59.6

59.6/x=100/19.9
(59.6/x)*x=(100/19.9)*x       - we multiply both sides of the equation by x
59.6=5.0251256281407*x       - we divide both sides of the equation by (5.0251256281407) to get x
59.6/5.0251256281407=x
11.8604=x
x=11.8604

now we have:
19.9% of 59.6=11.8604