What is 28.57143 percent of 378.4 - 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 378.4 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 378.4 is 100%, so we can write it down as 378.4=100%.
4. We know, that x is 28.57143% of the output value, so we can write it down as x=28.57143%.
5. Now we have two simple equations:
1) 378.4=100%
2) x=28.57143%
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:
378.4/x=100%/28.57143%
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 28.57143% of 378.4

378.4/x=100/28.57143
(378.4/x)*x=(100/28.57143)*x       - we multiply both sides of the equation by x
378.4=3.499999825*x       - we divide both sides of the equation by (3.499999825) to get x
378.4/3.499999825=x
108.11429112=x
x=108.11429112

now we have:
28.57143% of 378.4=108.11429112