What is 52.48 percent of 820 - 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 820 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 820 is 100%, so we can write it down as 820=100%.
4. We know, that x is 52.48% of the output value, so we can write it down as x=52.48%.
5. Now we have two simple equations:
1) 820=100%
2) x=52.48%
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:
820/x=100%/52.48%
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 52.48% of 820

820/x=100/52.48
(820/x)*x=(100/52.48)*x       - we multiply both sides of the equation by x
820=1.905487804878*x       - we divide both sides of the equation by (1.905487804878) to get x
820/1.905487804878=x
430.336=x
x=430.336

now we have:
52.48% of 820=430.336