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45% of what number is 51.75?

1 Answer

11 votes

Answer:45% of 51.75=23.2875

Explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 51.75 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 51.75 is 100%, so we can write it down as 51.75=100%.

4. We know, that x is 45% of the output value, so we can write it down as x=45%.

5. Now we have two simple equations:

1) 51.75=100%

2) x=45%

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:

51.75/x=100%/45%

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 45% of 51.75

51.75/x=100/45

(51.75/x)*x=(100/45)*x - we multiply both sides of the equation by x

51.75=2.2222222222222*x - we divide both sides of the equation by (2.2222222222222) to get x

51.75/2.2222222222222=x

23.2875=x

x=23.2875

now we have:

45% of 51.75=23.2875

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