649.44 is what percent of 680 - 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 680 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 680, so we can write it down as 100%=680.
4. We know, that x% equals 649.44 of the output value, so we can write it down as x%=649.44.
5. Now we have two simple equations:
1) 100%=680
2) x%=649.44
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%=680/649.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 649.44 is what percent of 680

100%/x%=680/649.44
(100/x)*x=(680/649.44)*x       - we multiply both sides of the equation by x
100=1.0470559251047*x       - we divide both sides of the equation by (1.0470559251047) to get x
100/1.0470559251047=x
95.505882352941=x
x=95.505882352941

now we have:
649.44 is 95.505882352941% of 680