988.42 is what percent of 3996.42 - 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 3996.42 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 3996.42, so we can write it down as 100%=3996.42.
4. We know, that x% equals 988.42 of the output value, so we can write it down as x%=988.42.
5. Now we have two simple equations:
1) 100%=3996.42
2) x%=988.42
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%=3996.42/988.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 988.42 is what percent of 3996.42

100%/x%=3996.42/988.42
(100/x)*x=(3996.42/988.42)*x       - we multiply both sides of the equation by x
100=4.0432407276259*x       - we divide both sides of the equation by (4.0432407276259) to get x
100/4.0432407276259=x
24.73263570896=x
x=24.73263570896

now we have:
988.42 is 24.73263570896% of 3996.42