48.06 is what percent of 760 - 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 760 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 760, so we can write it down as 100%=760.
4. We know, that x% equals 48.06 of the output value, so we can write it down as x%=48.06.
5. Now we have two simple equations:
1) 100%=760
2) x%=48.06
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%=760/48.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.06 is what percent of 760

100%/x%=760/48.06
(100/x)*x=(760/48.06)*x       - we multiply both sides of the equation by x
100=15.813566375364*x       - we divide both sides of the equation by (15.813566375364) to get x
100/15.813566375364=x
6.3236842105263=x
x=6.3236842105263

now we have:
48.06 is 6.3236842105263% of 760