46 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 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=47000
2) x%=46
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%=47000/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 47000

100%/x%=47000/46
(100/x)*x=(47000/46)*x       - we multiply both sides of the equation by x
100=1021.7391304348*x       - we divide both sides of the equation by (1021.7391304348) to get x
100/1021.7391304348=x
0.097872340425532=x
x=0.097872340425532

now we have:
46 is 0.097872340425532% of 47000