47 is what percent of 982 - 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 982 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 982, so we can write it down as 100%=982.
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%=982
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%=982/47
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 982

100%/x%=982/47
(100/x)*x=(982/47)*x       - we multiply both sides of the equation by x
100=20.893617021277*x       - we divide both sides of the equation by (20.893617021277) to get x
100/20.893617021277=x
4.786150712831=x
x=4.786150712831

now we have:
47 is 4.786150712831% of 982