1475.76 is what percent of 2948 - 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 2948 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 2948, so we can write it down as 100%=2948.
4. We know, that x% equals 1475.76 of the output value, so we can write it down as x%=1475.76.
5. Now we have two simple equations:
1) 100%=2948
2) x%=1475.76
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%=2948/1475.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1475.76 is what percent of 2948

100%/x%=2948/1475.76
(100/x)*x=(2948/1475.76)*x       - we multiply both sides of the equation by x
100=1.9976147883125*x       - we divide both sides of the equation by (1.9976147883125) to get x
100/1.9976147883125=x
50.059701492537=x
x=50.059701492537

now we have:
1475.76 is 50.059701492537% of 2948