46 is what percent of 319609 - 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 319609 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 319609, so we can write it down as 100%=319609.
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%=319609
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%=319609/46
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 319609

100%/x%=319609/46
(100/x)*x=(319609/46)*x       - we multiply both sides of the equation by x
100=6948.0217391304*x       - we divide both sides of the equation by (6948.0217391304) to get x
100/6948.0217391304=x
0.014392585940947=x
x=0.014392585940947

now we have:
46 is 0.014392585940947% of 319609