What is 2.5 percent of 13.782 - 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 13.782 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 13.782 is 100%, so we can write it down as 13.782=100%.
4. We know, that x is 2.5% of the output value, so we can write it down as x=2.5%.
5. Now we have two simple equations:
1) 13.782=100%
2) x=2.5%
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:
13.782/x=100%/2.5%
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 2.5% of 13.782

13.782/x=100/2.5
(13.782/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x
13.782=40*x       - we divide both sides of the equation by (40) to get x
13.782/40=x
0.34455=x
x=0.34455

now we have:
2.5% of 13.782=0.34455