What is 42.5 percent of 47.75 - step by step solution

Simple and best practice solution for 42.5% of 47.75. 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 47.75 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 47.75 is 100%, so we can write it down as 47.75=100%.
4. We know, that x is 42.5% of the output value, so we can write it down as x=42.5%.
5. Now we have two simple equations:
1) 47.75=100%
2) x=42.5%
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:
47.75/x=100%/42.5%
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 42.5% of 47.75

47.75/x=100/42.5
(47.75/x)*x=(100/42.5)*x - we multiply both sides of the equation by x
47.75=2.6*x - we divide both sides of the equation by (2.6) to get x
47.75/2.6=x
20.29375=x
x=20.29375

now we have:
42.5% of 47.75=20.29375

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