244.21 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 244.21 of the output value, so we can write it down as x%=244.21.
5. Now we have two simple equations:
1) 100%=800
2) x%=244.21
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%=800/244.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 244.21 is what percent of 800

100%/x%=800/244.21
(100/x)*x=(800/244.21)*x       - we multiply both sides of the equation by x
100=3.2758691290283*x       - we divide both sides of the equation by (3.2758691290283) to get x
100/3.2758691290283=x
30.52625=x
x=30.52625

now we have:
244.21 is 30.52625% of 800