378.96 is what percent of 4245 - 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 4245 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 4245, so we can write it down as 100%=4245.
4. We know, that x% equals 378.96 of the output value, so we can write it down as x%=378.96.
5. Now we have two simple equations:
1) 100%=4245
2) x%=378.96
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%=4245/378.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 378.96 is what percent of 4245

100%/x%=4245/378.96
(100/x)*x=(4245/378.96)*x       - we multiply both sides of the equation by x
100=11.201709943002*x       - we divide both sides of the equation by (11.201709943002) to get x
100/11.201709943002=x
8.9272084805654=x
x=8.9272084805654

now we have:
378.96 is 8.9272084805654% of 4245