46 is what percent of 15400 - 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 15400 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 15400, so we can write it down as 100%=15400.
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%=15400
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%=15400/46
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 15400

100%/x%=15400/46
(100/x)*x=(15400/46)*x       - we multiply both sides of the equation by x
100=334.78260869565*x       - we divide both sides of the equation by (334.78260869565) to get x
100/334.78260869565=x
0.2987012987013=x
x=0.2987012987013

now we have:
46 is 0.2987012987013% of 15400