46 is what percent of 12387 - 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 12387 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 12387, so we can write it down as 100%=12387.
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%=12387
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%=12387/46
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 12387

100%/x%=12387/46
(100/x)*x=(12387/46)*x       - we multiply both sides of the equation by x
100=269.28260869565*x       - we divide both sides of the equation by (269.28260869565) to get x
100/269.28260869565=x
0.37135706789376=x
x=0.37135706789376

now we have:
46 is 0.37135706789376% of 12387