31 is what percent of 41 - 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 41 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 41, so we can write it down as 100%=41.
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%=41
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%=41/31
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 41

100%/x%=41/31
(100/x)*x=(41/31)*x - we multiply both sides of the equation by x
100=1.32258064516*x - we divide both sides of the equation by (1.32258064516) to get x
100/1.32258064516=x
75.6097560976=x
x=75.6097560976

now we have:
31 is 75.6097560976% of 41

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