668.2 is what percent of 687.45 - 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 687.45 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 687.45, so we can write it down as 100%=687.45.
4. We know, that x% equals 668.2 of the output value, so we can write it down as x%=668.2.
5. Now we have two simple equations:
1) 100%=687.45
2) x%=668.2
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%=687.45/668.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 668.2 is what percent of 687.45

100%/x%=687.45/668.2
(100/x)*x=(687.45/668.2)*x       - we multiply both sides of the equation by x
100=1.0288087398982*x       - we divide both sides of the equation by (1.0288087398982) to get x
100/1.0288087398982=x
97.199796348825=x
x=97.199796348825

now we have:
668.2 is 97.199796348825% of 687.45