793.48 is what percent of 3993.48 - 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 3993.48 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 3993.48, so we can write it down as 100%=3993.48.
4. We know, that x% equals 793.48 of the output value, so we can write it down as x%=793.48.
5. Now we have two simple equations:
1) 100%=3993.48
2) x%=793.48
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%=3993.48/793.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 793.48 is what percent of 3993.48

100%/x%=3993.48/793.48
(100/x)*x=(3993.48/793.48)*x       - we multiply both sides of the equation by x
100=5.0328678731663*x       - we divide both sides of the equation by (5.0328678731663) to get x
100/5.0328678731663=x
19.869387100975=x
x=19.869387100975

now we have:
793.48 is 19.869387100975% of 3993.48