682.75 is what percent of 1518.75 - 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 1518.75 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 1518.75, so we can write it down as 100%=1518.75.
4. We know, that x% equals 682.75 of the output value, so we can write it down as x%=682.75.
5. Now we have two simple equations:
1) 100%=1518.75
2) x%=682.75
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%=1518.75/682.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 682.75 is what percent of 1518.75

100%/x%=1518.75/682.75
(100/x)*x=(1518.75/682.75)*x       - we multiply both sides of the equation by x
100=2.2244599047968*x       - we divide both sides of the equation by (2.2244599047968) to get x
100/2.2244599047968=x
44.954732510288=x
x=44.954732510288

now we have:
682.75 is 44.954732510288% of 1518.75