What is 12.35 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 12.35% of the output value, so we can write it down as x=12.35%.
5. Now we have two simple equations:
1) 400=100%
2) x=12.35%
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%/12.35%
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 12.35% of 400

400/x=100/12.35
(400/x)*x=(100/12.35)*x       - we multiply both sides of the equation by x
400=8.0971659919028*x       - we divide both sides of the equation by (8.0971659919028) to get x
400/8.0971659919028=x
49.4=x
x=49.4

now we have:
12.35% of 400=49.4