465.77 is what percent of 1875 - 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 1875 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 1875, so we can write it down as 100%=1875.
4. We know, that x% equals 465.77 of the output value, so we can write it down as x%=465.77.
5. Now we have two simple equations:
1) 100%=1875
2) x%=465.77
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%=1875/465.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 465.77 is what percent of 1875

100%/x%=1875/465.77
(100/x)*x=(1875/465.77)*x       - we multiply both sides of the equation by x
100=4.0255920304013*x       - we divide both sides of the equation by (4.0255920304013) to get x
100/4.0255920304013=x
24.841066666667=x
x=24.841066666667

now we have:
465.77 is 24.841066666667% of 1875