28 is what percent of 16.75 - 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 16.75 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 100% equals 16.75, so we can write it down as 100%=16.75.
4. We know, that x% equals 28 of the output value, so we can write it down as x%=28.
5. Now we have two simple equations:
1) 100%=16.75
2) x%=28
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%=16.75/28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28 is what percent of 16.75

100%/x%=16.75/28
(100/x)*x=(16.75/28)*x       - we multiply both sides of the equation by x
100=0.59821428571429*x       - we divide both sides of the equation by (0.59821428571429) to get x
100/0.59821428571429=x
167.16417910448=x
x=167.16417910448

now we have:
28 is 167.16417910448% of 16.75

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