46 is what percent of 46720 - 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 46720 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 46720, so we can write it down as 100%=46720.
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%=46720
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%=46720/46
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 46720

100%/x%=46720/46
(100/x)*x=(46720/46)*x       - we multiply both sides of the equation by x
100=1015.652173913*x       - we divide both sides of the equation by (1015.652173913) to get x
100/1015.652173913=x
0.098458904109589=x
x=0.098458904109589

now we have:
46 is 0.098458904109589% of 46720