654.42 is what percent of 708.25 - 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 708.25 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 708.25, so we can write it down as 100%=708.25.
4. We know, that x% equals 654.42 of the output value, so we can write it down as x%=654.42.
5. Now we have two simple equations:
1) 100%=708.25
2) x%=654.42
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%=708.25/654.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 654.42 is what percent of 708.25

100%/x%=708.25/654.42
(100/x)*x=(708.25/654.42)*x       - we multiply both sides of the equation by x
100=1.0822560435195*x       - we divide both sides of the equation by (1.0822560435195) to get x
100/1.0822560435195=x
92.399576420755=x
x=92.399576420755

now we have:
654.42 is 92.399576420755% of 708.25