What is 59.8 percent of 17.2 - 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 17.2 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 17.2 is 100%, so we can write it down as 17.2=100%.
4. We know, that x is 59.8% of the output value, so we can write it down as x=59.8%.
5. Now we have two simple equations:
1) 17.2=100%
2) x=59.8%
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:
17.2/x=100%/59.8%
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 59.8% of 17.2

17.2/x=100/59.8
(17.2/x)*x=(100/59.8)*x       - we multiply both sides of the equation by x
17.2=1.6722408026756*x       - we divide both sides of the equation by (1.6722408026756) to get x
17.2/1.6722408026756=x
10.2856=x
x=10.2856

now we have:
59.8% of 17.2=10.2856