460.5 is what percent of 468 - 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 468 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 468, so we can write it down as 100%=468.
4. We know, that x% equals 460.5 of the output value, so we can write it down as x%=460.5.
5. Now we have two simple equations:
1) 100%=468
2) x%=460.5
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%=468/460.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 460.5 is what percent of 468

100%/x%=468/460.5
(100/x)*x=(468/460.5)*x       - we multiply both sides of the equation by x
100=1.0162866449511*x       - we divide both sides of the equation by (1.0162866449511) to get x
100/1.0162866449511=x
98.397435897436=x
x=98.397435897436

now we have:
460.5 is 98.397435897436% of 468