83 is what percent of 185 - 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 185 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 185, so we can write it down as 100%=185.
4. We know, that x% equals 83 of the output value, so we can write it down as x%=83.
5. Now we have two simple equations:
1) 100%=185
2) x%=83
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%=185/83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83 is what percent of 185

100%/x%=185/83
(100/x)*x=(185/83)*x - we multiply both sides of the equation by x
100=2.22891566265*x - we divide both sides of the equation by (2.22891566265) to get x
100/2.22891566265=x
44.8648648649=x
x=44.8648648649

now we have:
83 is 44.8648648649% of 185

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