105.04 is what percent of 655.88 - 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 655.88 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 655.88, so we can write it down as 100%=655.88.
4. We know, that x% equals 105.04 of the output value, so we can write it down as x%=105.04.
5. Now we have two simple equations:
1) 100%=655.88
2) x%=105.04
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%=655.88/105.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.04 is what percent of 655.88

100%/x%=655.88/105.04
(100/x)*x=(655.88/105.04)*x       - we multiply both sides of the equation by x
100=6.2440974866717*x       - we divide both sides of the equation by (6.2440974866717) to get x
100/6.2440974866717=x
16.015124717936=x
x=16.015124717936

now we have:
105.04 is 16.015124717936% of 655.88