66 is what percent of 91 - 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 91 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 91, so we can write it down as 100%=91.
4. We know, that x% equals 66 of the output value, so we can write it down as x%=66.
5. Now we have two simple equations:
1) 100%=91
2) x%=66
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%=91/66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66 is what percent of 91

100%/x%=91/66
(100/x)*x=(91/66)*x - we multiply both sides of the equation by x
100=1.37878787879*x - we divide both sides of the equation by (1.37878787879) to get x
100/1.37878787879=x
72.5274725275=x
x=72.5274725275

now we have:
66 is 72.5274725275% of 91

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