What is 41.8 percent of 2.78 - 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 2.78 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 2.78 is 100%, so we can write it down as 2.78=100%.
4. We know, that x is 41.8% of the output value, so we can write it down as x=41.8%.
5. Now we have two simple equations:
1) 2.78=100%
2) x=41.8%
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:
2.78/x=100%/41.8%
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 41.8% of 2.78

2.78/x=100/41.8
(2.78/x)*x=(100/41.8)*x       - we multiply both sides of the equation by x
2.78=2.3923444976077*x       - we divide both sides of the equation by (2.3923444976077) to get x
2.78/2.3923444976077=x
1.16204=x
x=1.16204

now we have:
41.8% of 2.78=1.16204