What is 27.5 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 27.5% of the output value, so we can write it down as x=27.5%.
5. Now we have two simple equations:
1) 5200=100%
2) x=27.5%
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%/27.5%
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 27.5% of 5200

5200/x=100/27.5
(5200/x)*x=(100/27.5)*x       - we multiply both sides of the equation by x
5200=3.6363636363636*x       - we divide both sides of the equation by (3.6363636363636) to get x
5200/3.6363636363636=x
1430=x
x=1430

now we have:
27.5% of 5200=1430