31 is what percent of 81 - 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 81 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 81, so we can write it down as 100%=81.
4. We know, that x% equals 31 of the output value, so we can write it down as x%=31.
5. Now we have two simple equations:
1) 100%=81
2) x%=31
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%=81/31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31 is what percent of 81

100%/x%=81/31
(100/x)*x=(81/31)*x - we multiply both sides of the equation by x
100=2.61290322581*x - we divide both sides of the equation by (2.61290322581) to get x
100/2.61290322581=x
38.2716049383=x
x=38.2716049383

now we have:
31 is 38.2716049383% of 81

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