646.69 is what percent of 668.53 - 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 668.53 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 668.53, so we can write it down as 100%=668.53.
4. We know, that x% equals 646.69 of the output value, so we can write it down as x%=646.69.
5. Now we have two simple equations:
1) 100%=668.53
2) x%=646.69
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%=668.53/646.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 646.69 is what percent of 668.53

100%/x%=668.53/646.69
(100/x)*x=(668.53/646.69)*x       - we multiply both sides of the equation by x
100=1.0337719772998*x       - we divide both sides of the equation by (1.0337719772998) to get x
100/1.0337719772998=x
96.733130899137=x
x=96.733130899137

now we have:
646.69 is 96.733130899137% of 668.53