What is 10.49 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 10.49% of the output value, so we can write it down as x=10.49%.
5. Now we have two simple equations:
1) 400=100%
2) x=10.49%
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%/10.49%
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 10.49% of 400

400/x=100/10.49
(400/x)*x=(100/10.49)*x       - we multiply both sides of the equation by x
400=9.532888465205*x       - we divide both sides of the equation by (9.532888465205) to get x
400/9.532888465205=x
41.96=x
x=41.96

now we have:
10.49% of 400=41.96