211.6 is what percent of 904 - 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 904 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 904, so we can write it down as 100%=904.
4. We know, that x% equals 211.6 of the output value, so we can write it down as x%=211.6.
5. Now we have two simple equations:
1) 100%=904
2) x%=211.6
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%=904/211.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 211.6 is what percent of 904

100%/x%=904/211.6
(100/x)*x=(904/211.6)*x       - we multiply both sides of the equation by x
100=4.2722117202268*x       - we divide both sides of the equation by (4.2722117202268) to get x
100/4.2722117202268=x
23.407079646018=x
x=23.407079646018

now we have:
211.6 is 23.407079646018% of 904