161.31 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 161.31 of the output value, so we can write it down as x%=161.31.
5. Now we have two simple equations:
1) 100%=800
2) x%=161.31
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%=800/161.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.31 is what percent of 800

100%/x%=800/161.31
(100/x)*x=(800/161.31)*x       - we multiply both sides of the equation by x
100=4.9593949538156*x       - we divide both sides of the equation by (4.9593949538156) to get x
100/4.9593949538156=x
20.16375=x
x=20.16375

now we have:
161.31 is 20.16375% of 800