330.75 is what percent of 47 - 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 47 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 47, so we can write it down as 100%=47.
4. We know, that x% equals 330.75 of the output value, so we can write it down as x%=330.75.
5. Now we have two simple equations:
1) 100%=47
2) x%=330.75
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%=47/330.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 330.75 is what percent of 47

100%/x%=47/330.75
(100/x)*x=(47/330.75)*x       - we multiply both sides of the equation by x
100=0.14210128495843*x       - we divide both sides of the equation by (0.14210128495843) to get x
100/0.14210128495843=x
703.72340425532=x
x=703.72340425532

now we have:
330.75 is 703.72340425532% of 47