29957.62 is what percent of 47000 - 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 47000 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 47000, so we can write it down as 100%=47000.
4. We know, that x% equals 29957.62 of the output value, so we can write it down as x%=29957.62.
5. Now we have two simple equations:
1) 100%=47000
2) x%=29957.62
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%=47000/29957.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29957.62 is what percent of 47000

100%/x%=47000/29957.62
(100/x)*x=(47000/29957.62)*x       - we multiply both sides of the equation by x
100=1.5688829753498*x       - we divide both sides of the equation by (1.5688829753498) to get x
100/1.5688829753498=x
63.739617021277=x
x=63.739617021277

now we have:
29957.62 is 63.739617021277% of 47000