42 is what percent of 61 - 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 61 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 61, so we can write it down as 100%=61.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=61
2) x%=42
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%=61/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 61

100%/x%=61/42
(100/x)*x=(61/42)*x       - we multiply both sides of the equation by x
100=1.45238095238*x       - we divide both sides of the equation by (1.45238095238) to get x
100/1.45238095238=x
68.8524590164=x
x=68.8524590164

now we have:
42 is 68.8524590164% of 61

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