What is 2.69 percent of 415.76 - 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 415.76 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 415.76 is 100%, so we can write it down as 415.76=100%.
4. We know, that x is 2.69% of the output value, so we can write it down as x=2.69%.
5. Now we have two simple equations:
1) 415.76=100%
2) x=2.69%
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:
415.76/x=100%/2.69%
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 2.69% of 415.76

415.76/x=100/2.69
(415.76/x)*x=(100/2.69)*x       - we multiply both sides of the equation by x
415.76=37.174721189591*x       - we divide both sides of the equation by (37.174721189591) to get x
415.76/37.174721189591=x
11.183944=x
x=11.183944

now we have:
2.69% of 415.76=11.183944