320.53 is what percent of 1485.45 - 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 1485.45 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 1485.45, so we can write it down as 100%=1485.45.
4. We know, that x% equals 320.53 of the output value, so we can write it down as x%=320.53.
5. Now we have two simple equations:
1) 100%=1485.45
2) x%=320.53
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%=1485.45/320.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 320.53 is what percent of 1485.45

100%/x%=1485.45/320.53
(100/x)*x=(1485.45/320.53)*x       - we multiply both sides of the equation by x
100=4.6343555985399*x       - we divide both sides of the equation by (4.6343555985399) to get x
100/4.6343555985399=x
21.577973004813=x
x=21.577973004813

now we have:
320.53 is 21.577973004813% of 1485.45