577.97 is what percent of 1632 - 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 1632 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 1632, so we can write it down as 100%=1632.
4. We know, that x% equals 577.97 of the output value, so we can write it down as x%=577.97.
5. Now we have two simple equations:
1) 100%=1632
2) x%=577.97
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%=1632/577.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 577.97 is what percent of 1632

100%/x%=1632/577.97
(100/x)*x=(1632/577.97)*x       - we multiply both sides of the equation by x
100=2.823675969341*x       - we divide both sides of the equation by (2.823675969341) to get x
100/2.823675969341=x
35.414828431373=x
x=35.414828431373

now we have:
577.97 is 35.414828431373% of 1632