369.41 is what percent of 825.74 - 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 825.74 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 825.74, so we can write it down as 100%=825.74.
4. We know, that x% equals 369.41 of the output value, so we can write it down as x%=369.41.
5. Now we have two simple equations:
1) 100%=825.74
2) x%=369.41
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%=825.74/369.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 369.41 is what percent of 825.74

100%/x%=825.74/369.41
(100/x)*x=(825.74/369.41)*x       - we multiply both sides of the equation by x
100=2.2352941176471*x       - we divide both sides of the equation by (2.2352941176471) to get x
100/2.2352941176471=x
44.736842105263=x
x=44.736842105263

now we have:
369.41 is 44.736842105263% of 825.74