146.49 is what percent of 2929.25 - 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 2929.25 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 2929.25, so we can write it down as 100%=2929.25.
4. We know, that x% equals 146.49 of the output value, so we can write it down as x%=146.49.
5. Now we have two simple equations:
1) 100%=2929.25
2) x%=146.49
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%=2929.25/146.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.49 is what percent of 2929.25

100%/x%=2929.25/146.49
(100/x)*x=(2929.25/146.49)*x       - we multiply both sides of the equation by x
100=19.996245477507*x       - we divide both sides of the equation by (19.996245477507) to get x
100/19.996245477507=x
5.0009388068618=x
x=5.0009388068618

now we have:
146.49 is 5.0009388068618% of 2929.25