324.92 is what percent of 465 - 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 465 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 465, so we can write it down as 100%=465.
4. We know, that x% equals 324.92 of the output value, so we can write it down as x%=324.92.
5. Now we have two simple equations:
1) 100%=465
2) x%=324.92
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%=465/324.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 324.92 is what percent of 465

100%/x%=465/324.92
(100/x)*x=(465/324.92)*x       - we multiply both sides of the equation by x
100=1.4311215068325*x       - we divide both sides of the equation by (1.4311215068325) to get x
100/1.4311215068325=x
69.875268817204=x
x=69.875268817204

now we have:
324.92 is 69.875268817204% of 465