406.5 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 406.5 of the output value, so we can write it down as x%=406.5.
5. Now we have two simple equations:
1) 100%=680
2) x%=406.5
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%=680/406.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 406.5 is what percent of 680

100%/x%=680/406.5
(100/x)*x=(680/406.5)*x       - we multiply both sides of the equation by x
100=1.6728167281673*x       - we divide both sides of the equation by (1.6728167281673) to get x
100/1.6728167281673=x
59.779411764706=x
x=59.779411764706

now we have:
406.5 is 59.779411764706% of 680