378.75 is what percent of 2913.48 - 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 2913.48 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 2913.48, so we can write it down as 100%=2913.48.
4. We know, that x% equals 378.75 of the output value, so we can write it down as x%=378.75.
5. Now we have two simple equations:
1) 100%=2913.48
2) x%=378.75
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%=2913.48/378.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 378.75 is what percent of 2913.48

100%/x%=2913.48/378.75
(100/x)*x=(2913.48/378.75)*x       - we multiply both sides of the equation by x
100=7.6923564356436*x       - we divide both sides of the equation by (7.6923564356436) to get x
100/7.6923564356436=x
12.999917624284=x
x=12.999917624284

now we have:
378.75 is 12.999917624284% of 2913.48