What is 41.7 percent of 172.8 - 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 172.8 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 172.8 is 100%, so we can write it down as 172.8=100%.
4. We know, that x is 41.7% of the output value, so we can write it down as x=41.7%.
5. Now we have two simple equations:
1) 172.8=100%
2) x=41.7%
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:
172.8/x=100%/41.7%
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 41.7% of 172.8

172.8/x=100/41.7
(172.8/x)*x=(100/41.7)*x       - we multiply both sides of the equation by x
172.8=2.3980815347722*x       - we divide both sides of the equation by (2.3980815347722) to get x
172.8/2.3980815347722=x
72.0576=x
x=72.0576

now we have:
41.7% of 172.8=72.0576