27.92 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 27.92 of the output value, so we can write it down as x%=27.92.
5. Now we have two simple equations:
1) 100%=800
2) x%=27.92
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%=800/27.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.92 is what percent of 800

100%/x%=800/27.92
(100/x)*x=(800/27.92)*x       - we multiply both sides of the equation by x
100=28.65329512894*x       - we divide both sides of the equation by (28.65329512894) to get x
100/28.65329512894=x
3.49=x
x=3.49

now we have:
27.92 is 3.49% of 800