What is 2.96 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 2.96% of the output value, so we can write it down as x=2.96%.
5. Now we have two simple equations:
1) 2.78=100%
2) x=2.96%
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%/2.96%
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 2.96% of 2.78

2.78/x=100/2.96
(2.78/x)*x=(100/2.96)*x       - we multiply both sides of the equation by x
2.78=33.783783783784*x       - we divide both sides of the equation by (33.783783783784) to get x
2.78/33.783783783784=x
0.082288=x
x=0.082288

now we have:
2.96% of 2.78=0.082288