What is 53.85 percent of 520 - 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 520 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 520 is 100%, so we can write it down as 520=100%.
4. We know, that x is 53.85% of the output value, so we can write it down as x=53.85%.
5. Now we have two simple equations:
1) 520=100%
2) x=53.85%
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:
520/x=100%/53.85%
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 53.85% of 520

520/x=100/53.85
(520/x)*x=(100/53.85)*x       - we multiply both sides of the equation by x
520=1.8570102135562*x       - we divide both sides of the equation by (1.8570102135562) to get x
520/1.8570102135562=x
280.02=x
x=280.02

now we have:
53.85% of 520=280.02