330.93 is what percent of 420 - 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 420 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 420, so we can write it down as 100%=420.
4. We know, that x% equals 330.93 of the output value, so we can write it down as x%=330.93.
5. Now we have two simple equations:
1) 100%=420
2) x%=330.93
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%=420/330.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 330.93 is what percent of 420

100%/x%=420/330.93
(100/x)*x=(420/330.93)*x       - we multiply both sides of the equation by x
100=1.2691505756504*x       - we divide both sides of the equation by (1.2691505756504) to get x
100/1.2691505756504=x
78.792857142857=x
x=78.792857142857

now we have:
330.93 is 78.792857142857% of 420