469.45 is what percent of 486.25 - 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 486.25 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 486.25, so we can write it down as 100%=486.25.
4. We know, that x% equals 469.45 of the output value, so we can write it down as x%=469.45.
5. Now we have two simple equations:
1) 100%=486.25
2) x%=469.45
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%=486.25/469.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.45 is what percent of 486.25

100%/x%=486.25/469.45
(100/x)*x=(486.25/469.45)*x       - we multiply both sides of the equation by x
100=1.0357865587389*x       - we divide both sides of the equation by (1.0357865587389) to get x
100/1.0357865587389=x
96.54498714653=x
x=96.54498714653

now we have:
469.45 is 96.54498714653% of 486.25