468.25 is what percent of 895.25 - 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 895.25 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 895.25, so we can write it down as 100%=895.25.
4. We know, that x% equals 468.25 of the output value, so we can write it down as x%=468.25.
5. Now we have two simple equations:
1) 100%=895.25
2) x%=468.25
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%=895.25/468.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.25 is what percent of 895.25

100%/x%=895.25/468.25
(100/x)*x=(895.25/468.25)*x       - we multiply both sides of the equation by x
100=1.911906033102*x       - we divide both sides of the equation by (1.911906033102) to get x
100/1.911906033102=x
52.303825746998=x
x=52.303825746998

now we have:
468.25 is 52.303825746998% of 895.25