682.4 is what percent of 700 - 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 700 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 700, so we can write it down as 100%=700.
4. We know, that x% equals 682.4 of the output value, so we can write it down as x%=682.4.
5. Now we have two simple equations:
1) 100%=700
2) x%=682.4
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%=700/682.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 682.4 is what percent of 700

100%/x%=700/682.4
(100/x)*x=(700/682.4)*x       - we multiply both sides of the equation by x
100=1.0257913247362*x       - we divide both sides of the equation by (1.0257913247362) to get x
100/1.0257913247362=x
97.485714285714=x
x=97.485714285714

now we have:
682.4 is 97.485714285714% of 700