What is 1.57 percent of 519.47 - 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 519.47 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 519.47 is 100%, so we can write it down as 519.47=100%.
4. We know, that x is 1.57% of the output value, so we can write it down as x=1.57%.
5. Now we have two simple equations:
1) 519.47=100%
2) x=1.57%
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:
519.47/x=100%/1.57%
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 1.57% of 519.47

519.47/x=100/1.57
(519.47/x)*x=(100/1.57)*x       - we multiply both sides of the equation by x
519.47=63.694267515924*x       - we divide both sides of the equation by (63.694267515924) to get x
519.47/63.694267515924=x
8.155679=x
x=8.155679

now we have:
1.57% of 519.47=8.155679