104.78 is what percent of 654.5 - 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 654.5 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 654.5, so we can write it down as 100%=654.5.
4. We know, that x% equals 104.78 of the output value, so we can write it down as x%=104.78.
5. Now we have two simple equations:
1) 100%=654.5
2) x%=104.78
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%=654.5/104.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.78 is what percent of 654.5

100%/x%=654.5/104.78
(100/x)*x=(654.5/104.78)*x       - we multiply both sides of the equation by x
100=6.2464210727238*x       - we divide both sides of the equation by (6.2464210727238) to get x
100/6.2464210727238=x
16.009167303285=x
x=16.009167303285

now we have:
104.78 is 16.009167303285% of 654.5