48.19 is what percent of 954.46 - 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 954.46 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 954.46, so we can write it down as 100%=954.46.
4. We know, that x% equals 48.19 of the output value, so we can write it down as x%=48.19.
5. Now we have two simple equations:
1) 100%=954.46
2) x%=48.19
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%=954.46/48.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.19 is what percent of 954.46

100%/x%=954.46/48.19
(100/x)*x=(954.46/48.19)*x       - we multiply both sides of the equation by x
100=19.806183855572*x       - we divide both sides of the equation by (19.806183855572) to get x
100/19.806183855572=x
5.0489281897617=x
x=5.0489281897617

now we have:
48.19 is 5.0489281897617% of 954.46