163.43 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 163.43 of the output value, so we can write it down as x%=163.43.
5. Now we have two simple equations:
1) 100%=800
2) x%=163.43
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%=800/163.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.43 is what percent of 800

100%/x%=800/163.43
(100/x)*x=(800/163.43)*x       - we multiply both sides of the equation by x
100=4.8950621061005*x       - we divide both sides of the equation by (4.8950621061005) to get x
100/4.8950621061005=x
20.42875=x
x=20.42875

now we have:
163.43 is 20.42875% of 800