26.83 is what percent of 884.42 - 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 884.42 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 884.42, so we can write it down as 100%=884.42.
4. We know, that x% equals 26.83 of the output value, so we can write it down as x%=26.83.
5. Now we have two simple equations:
1) 100%=884.42
2) x%=26.83
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%=884.42/26.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.83 is what percent of 884.42

100%/x%=884.42/26.83
(100/x)*x=(884.42/26.83)*x       - we multiply both sides of the equation by x
100=32.963846440552*x       - we divide both sides of the equation by (32.963846440552) to get x
100/32.963846440552=x
3.0336265575179=x
x=3.0336265575179

now we have:
26.83 is 3.0336265575179% of 884.42