146.75 is what percent of 3209.65 - 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 3209.65 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 3209.65, so we can write it down as 100%=3209.65.
4. We know, that x% equals 146.75 of the output value, so we can write it down as x%=146.75.
5. Now we have two simple equations:
1) 100%=3209.65
2) x%=146.75
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%=3209.65/146.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.75 is what percent of 3209.65

100%/x%=3209.65/146.75
(100/x)*x=(3209.65/146.75)*x       - we multiply both sides of the equation by x
100=21.871550255537*x       - we divide both sides of the equation by (21.871550255537) to get x
100/21.871550255537=x
4.5721496113283=x
x=4.5721496113283

now we have:
146.75 is 4.5721496113283% of 3209.65