What is 34.8 percent of 1090.4 - 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 1090.4 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 1090.4 is 100%, so we can write it down as 1090.4=100%.
4. We know, that x is 34.8% of the output value, so we can write it down as x=34.8%.
5. Now we have two simple equations:
1) 1090.4=100%
2) x=34.8%
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:
1090.4/x=100%/34.8%
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 34.8% of 1090.4

1090.4/x=100/34.8
(1090.4/x)*x=(100/34.8)*x       - we multiply both sides of the equation by x
1090.4=2.8735632183908*x       - we divide both sides of the equation by (2.8735632183908) to get x
1090.4/2.8735632183908=x
379.4592=x
x=379.4592

now we have:
34.8% of 1090.4=379.4592