321.6 is what percent of 475 - 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 475 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 100% equals 475, so we can write it down as 100%=475.
4. We know, that x% equals 321.6 of the output value, so we can write it down as x%=321.6.
5. Now we have two simple equations:
1) 100%=475
2) x%=321.6
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:
100%/x%=475/321.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 321.6 is what percent of 475

100%/x%=475/321.6
(100/x)*x=(475/321.6)*x       - we multiply both sides of the equation by x
100=1.4769900497512*x       - we divide both sides of the equation by (1.4769900497512) to get x
100/1.4769900497512=x
67.705263157895=x
x=67.705263157895

now we have:
321.6 is 67.705263157895% of 475