What is 38.5 percent of 10.78 - 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 10.78 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 10.78 is 100%, so we can write it down as 10.78=100%.
4. We know, that x is 38.5% of the output value, so we can write it down as x=38.5%.
5. Now we have two simple equations:
1) 10.78=100%
2) x=38.5%
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:
10.78/x=100%/38.5%
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 38.5% of 10.78

10.78/x=100/38.5
(10.78/x)*x=(100/38.5)*x       - we multiply both sides of the equation by x
10.78=2.5974025974026*x       - we divide both sides of the equation by (2.5974025974026) to get x
10.78/2.5974025974026=x
4.1503=x
x=4.1503

now we have:
38.5% of 10.78=4.1503