What is 17.2 percent of 46.8 - 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 46.8 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 46.8 is 100%, so we can write it down as 46.8=100%.
4. We know, that x is 17.2% of the output value, so we can write it down as x=17.2%.
5. Now we have two simple equations:
1) 46.8=100%
2) x=17.2%
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:
46.8/x=100%/17.2%
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 17.2% of 46.8

46.8/x=100/17.2
(46.8/x)*x=(100/17.2)*x       - we multiply both sides of the equation by x
46.8=5.8139534883721*x       - we divide both sides of the equation by (5.8139534883721) to get x
46.8/5.8139534883721=x
8.0496=x
x=8.0496

now we have:
17.2% of 46.8=8.0496