What is 13.78 percent of 10 - 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 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 is 100%, so we can write it down as 10=100%.
4. We know, that x is 13.78% of the output value, so we can write it down as x=13.78%.
5. Now we have two simple equations:
1) 10=100%
2) x=13.78%
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/x=100%/13.78%
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 13.78% of 10

10/x=100/13.78
(10/x)*x=(100/13.78)*x       - we multiply both sides of the equation by x
10=7.2568940493469*x       - we divide both sides of the equation by (7.2568940493469) to get x
10/7.2568940493469=x
1.378=x
x=1.378

now we have:
13.78% of 10=1.378