16.31 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 16.31 of the output value, so we can write it down as x%=16.31.
5. Now we have two simple equations:
1) 100%=1000
2) x%=16.31
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%=1000/16.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.31 is what percent of 1000

100%/x%=1000/16.31
(100/x)*x=(1000/16.31)*x       - we multiply both sides of the equation by x
100=61.31207847946*x       - we divide both sides of the equation by (61.31207847946) to get x
100/61.31207847946=x
1.631=x
x=1.631

now we have:
16.31 is 1.631% of 1000