378.48 is what percent of 1173.48 - 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 1173.48 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 1173.48, so we can write it down as 100%=1173.48.
4. We know, that x% equals 378.48 of the output value, so we can write it down as x%=378.48.
5. Now we have two simple equations:
1) 100%=1173.48
2) x%=378.48
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%=1173.48/378.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 378.48 is what percent of 1173.48

100%/x%=1173.48/378.48
(100/x)*x=(1173.48/378.48)*x       - we multiply both sides of the equation by x
100=3.1005072923272*x       - we divide both sides of the equation by (3.1005072923272) to get x
100/3.1005072923272=x
32.252786583495=x
x=32.252786583495

now we have:
378.48 is 32.252786583495% of 1173.48