79 is what percent of 3639 - 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 3639 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 3639, so we can write it down as 100%=3639.
4. We know, that x% equals 79 of the output value, so we can write it down as x%=79.
5. Now we have two simple equations:
1) 100%=3639
2) x%=79
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%=3639/79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79 is what percent of 3639

100%/x%=3639/79
(100/x)*x=(3639/79)*x       - we multiply both sides of the equation by x
100=46.063291139241*x       - we divide both sides of the equation by (46.063291139241) to get x
100/46.063291139241=x
2.170926078593=x
x=2.170926078593

now we have:
79 is 2.170926078593% of 3639

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