28 is what percent of 183 - 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 183 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 183, so we can write it down as 100%=183.
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%=183
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%=183/28
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 183

100%/x%=183/28
(100/x)*x=(183/28)*x       - we multiply both sides of the equation by x
100=6.5357142857143*x       - we divide both sides of the equation by (6.5357142857143) to get x
100/6.5357142857143=x
15.300546448087=x
x=15.300546448087

now we have:
28 is 15.300546448087% of 183

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