What is 7.7 percent of 5200 - 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 5200 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 5200 is 100%, so we can write it down as 5200=100%.
4. We know, that x is 7.7% of the output value, so we can write it down as x=7.7%.
5. Now we have two simple equations:
1) 5200=100%
2) x=7.7%
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:
5200/x=100%/7.7%
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 7.7% of 5200

5200/x=100/7.7
(5200/x)*x=(100/7.7)*x       - we multiply both sides of the equation by x
5200=12.987012987013*x       - we divide both sides of the equation by (12.987012987013) to get x
5200/12.987012987013=x
400.4=x
x=400.4

now we have:
7.7% of 5200=400.4