648.65 is what percent of 697.69 - 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 697.69 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 697.69, so we can write it down as 100%=697.69.
4. We know, that x% equals 648.65 of the output value, so we can write it down as x%=648.65.
5. Now we have two simple equations:
1) 100%=697.69
2) x%=648.65
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%=697.69/648.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 648.65 is what percent of 697.69

100%/x%=697.69/648.65
(100/x)*x=(697.69/648.65)*x       - we multiply both sides of the equation by x
100=1.0756031758267*x       - we divide both sides of the equation by (1.0756031758267) to get x
100/1.0756031758267=x
92.971090312316=x
x=92.971090312316

now we have:
648.65 is 92.971090312316% of 697.69