379.24 is what percent of 682.72 - 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 682.72 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 682.72, so we can write it down as 100%=682.72.
4. We know, that x% equals 379.24 of the output value, so we can write it down as x%=379.24.
5. Now we have two simple equations:
1) 100%=682.72
2) x%=379.24
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%=682.72/379.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.24 is what percent of 682.72

100%/x%=682.72/379.24
(100/x)*x=(682.72/379.24)*x       - we multiply both sides of the equation by x
100=1.8002320430334*x       - we divide both sides of the equation by (1.8002320430334) to get x
100/1.8002320430334=x
55.548394656667=x
x=55.548394656667

now we have:
379.24 is 55.548394656667% of 682.72