468.75 is what percent of 968.75 - 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 968.75 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 968.75, so we can write it down as 100%=968.75.
4. We know, that x% equals 468.75 of the output value, so we can write it down as x%=468.75.
5. Now we have two simple equations:
1) 100%=968.75
2) x%=468.75
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%=968.75/468.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.75 is what percent of 968.75

100%/x%=968.75/468.75
(100/x)*x=(968.75/468.75)*x       - we multiply both sides of the equation by x
100=2.0666666666667*x       - we divide both sides of the equation by (2.0666666666667) to get x
100/2.0666666666667=x
48.387096774194=x
x=48.387096774194

now we have:
468.75 is 48.387096774194% of 968.75