What is 7.85 percent of 5449.56 - 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 5449.56 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 5449.56 is 100%, so we can write it down as 5449.56=100%.
4. We know, that x is 7.85% of the output value, so we can write it down as x=7.85%.
5. Now we have two simple equations:
1) 5449.56=100%
2) x=7.85%
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:
5449.56/x=100%/7.85%
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 7.85% of 5449.56

5449.56/x=100/7.85
(5449.56/x)*x=(100/7.85)*x       - we multiply both sides of the equation by x
5449.56=12.738853503185*x       - we divide both sides of the equation by (12.738853503185) to get x
5449.56/12.738853503185=x
427.79046=x
x=427.79046

now we have:
7.85% of 5449.56=427.79046