472.75 is what percent of 630 - step by step solution

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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 630 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 100% equals 630, so we can write it down as 100%=630.
4. We know, that x% equals 472.75 of the output value, so we can write it down as x%=472.75.
5. Now we have two simple equations:
1) 100%=630
2) x%=472.75
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:
100%/x%=630/472.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 472.75 is what percent of 630

100%/x%=630/472.75
(100/x)*x=(630/472.75)*x       - we multiply both sides of the equation by x
100=1.332628239027*x       - we divide both sides of the equation by (1.332628239027) to get x
100/1.332628239027=x
75.039682539683=x
x=75.039682539683

now we have:
472.75 is 75.039682539683% of 630

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