What is 8.876 percent of 400 - 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 400 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 400 is 100%, so we can write it down as 400=100%.
4. We know, that x is 8.876% of the output value, so we can write it down as x=8.876%.
5. Now we have two simple equations:
1) 400=100%
2) x=8.876%
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:
400/x=100%/8.876%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.876% of 400

400/x=100/8.876
(400/x)*x=(100/8.876)*x       - we multiply both sides of the equation by x
400=11.266336187472*x       - we divide both sides of the equation by (11.266336187472) to get x
400/11.266336187472=x
35.504=x
x=35.504

now we have:
8.876% of 400=35.504