388.5 is what percent of 406.5 - 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 406.5 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 406.5, so we can write it down as 100%=406.5.
4. We know, that x% equals 388.5 of the output value, so we can write it down as x%=388.5.
5. Now we have two simple equations:
1) 100%=406.5
2) x%=388.5
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%=406.5/388.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 388.5 is what percent of 406.5

100%/x%=406.5/388.5
(100/x)*x=(406.5/388.5)*x       - we multiply both sides of the equation by x
100=1.046332046332*x       - we divide both sides of the equation by (1.046332046332) to get x
100/1.046332046332=x
95.571955719557=x
x=95.571955719557

now we have:
388.5 is 95.571955719557% of 406.5