47 is what percent of 3059 - 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 3059 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 3059, so we can write it down as 100%=3059.
4. We know, that x% equals 47 of the output value, so we can write it down as x%=47.
5. Now we have two simple equations:
1) 100%=3059
2) x%=47
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%=3059/47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47 is what percent of 3059

100%/x%=3059/47
(100/x)*x=(3059/47)*x       - we multiply both sides of the equation by x
100=65.085106382979*x       - we divide both sides of the equation by (65.085106382979) to get x
100/65.085106382979=x
1.5364498202027=x
x=1.5364498202027

now we have:
47 is 1.5364498202027% of 3059