What is 27.5 percent of 5200 - step by step solution

Simple and best practice solution for 27.5% of 5200. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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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

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