What is 2.68 percent of 33.46 - 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 33.46 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 33.46 is 100%, so we can write it down as 33.46=100%.
4. We know, that x is 2.68% of the output value, so we can write it down as x=2.68%.
5. Now we have two simple equations:
1) 33.46=100%
2) x=2.68%
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:
33.46/x=100%/2.68%
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 2.68% of 33.46

33.46/x=100/2.68
(33.46/x)*x=(100/2.68)*x       - we multiply both sides of the equation by x
33.46=37.313432835821*x       - we divide both sides of the equation by (37.313432835821) to get x
33.46/37.313432835821=x
0.896728=x
x=0.896728

now we have:
2.68% of 33.46=0.896728