104.22 is what percent of 699.72 - 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 699.72 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 699.72, so we can write it down as 100%=699.72.
4. We know, that x% equals 104.22 of the output value, so we can write it down as x%=104.22.
5. Now we have two simple equations:
1) 100%=699.72
2) x%=104.22
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%=699.72/104.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.22 is what percent of 699.72

100%/x%=699.72/104.22
(100/x)*x=(699.72/104.22)*x       - we multiply both sides of the equation by x
100=6.7138744962579*x       - we divide both sides of the equation by (6.7138744962579) to get x
100/6.7138744962579=x
14.894529240268=x
x=14.894529240268

now we have:
104.22 is 14.894529240268% of 699.72