48.07 is what percent of 620.4 - 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 620.4 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 620.4, so we can write it down as 100%=620.4.
4. We know, that x% equals 48.07 of the output value, so we can write it down as x%=48.07.
5. Now we have two simple equations:
1) 100%=620.4
2) x%=48.07
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%=620.4/48.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.07 is what percent of 620.4

100%/x%=620.4/48.07
(100/x)*x=(620.4/48.07)*x       - we multiply both sides of the equation by x
100=12.906178489703*x       - we divide both sides of the equation by (12.906178489703) to get x
100/12.906178489703=x
7.7482269503546=x
x=7.7482269503546

now we have:
48.07 is 7.7482269503546% of 620.4