0.81 is what percent of 39.95 - 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 39.95 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 39.95, so we can write it down as 100%=39.95.
4. We know, that x% equals 0.81 of the output value, so we can write it down as x%=0.81.
5. Now we have two simple equations:
1) 100%=39.95
2) x%=0.81
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%=39.95/0.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.81 is what percent of 39.95

100%/x%=39.95/0.81
(100/x)*x=(39.95/0.81)*x       - we multiply both sides of the equation by x
100=49.320987654321*x       - we divide both sides of the equation by (49.320987654321) to get x
100/49.320987654321=x
2.0275344180225=x
x=2.0275344180225

now we have:
0.81 is 2.0275344180225% of 39.95

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