What is 35.78 percent of 2.99 - 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 2.99 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 2.99 is 100%, so we can write it down as 2.99=100%.
4. We know, that x is 35.78% of the output value, so we can write it down as x=35.78%.
5. Now we have two simple equations:
1) 2.99=100%
2) x=35.78%
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:
2.99/x=100%/35.78%
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 35.78% of 2.99

2.99/x=100/35.78
(2.99/x)*x=(100/35.78)*x       - we multiply both sides of the equation by x
2.99=2.7948574622694*x       - we divide both sides of the equation by (2.7948574622694) to get x
2.99/2.7948574622694=x
1.069822=x
x=1.069822

now we have:
35.78% of 2.99=1.069822