16 is what percent of 46300 - 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 46300 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 46300, so we can write it down as 100%=46300.
4. We know, that x% equals 16 of the output value, so we can write it down as x%=16.
5. Now we have two simple equations:
1) 100%=46300
2) x%=16
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%=46300/16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16 is what percent of 46300

100%/x%=46300/16
(100/x)*x=(46300/16)*x       - we multiply both sides of the equation by x
100=2893.75*x       - we divide both sides of the equation by (2893.75) to get x
100/2893.75=x
0.034557235421166=x
x=0.034557235421166

now we have:
16 is 0.034557235421166% of 46300