468.75 is what percent of 486.75 - 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 486.75 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 486.75, so we can write it down as 100%=486.75.
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%=486.75
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%=486.75/468.75
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 486.75

100%/x%=486.75/468.75
(100/x)*x=(486.75/468.75)*x       - we multiply both sides of the equation by x
100=1.0384*x       - we divide both sides of the equation by (1.0384) to get x
100/1.0384=x
96.302003081664=x
x=96.302003081664

now we have:
468.75 is 96.302003081664% of 486.75