47.93 is what percent of 660.93 - 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 660.93 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 660.93, so we can write it down as 100%=660.93.
4. We know, that x% equals 47.93 of the output value, so we can write it down as x%=47.93.
5. Now we have two simple equations:
1) 100%=660.93
2) x%=47.93
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%=660.93/47.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.93 is what percent of 660.93

100%/x%=660.93/47.93
(100/x)*x=(660.93/47.93)*x       - we multiply both sides of the equation by x
100=13.789484665137*x       - we divide both sides of the equation by (13.789484665137) to get x
100/13.789484665137=x
7.2519026220629=x
x=7.2519026220629

now we have:
47.93 is 7.2519026220629% of 660.93