2.74 is what percent of 7.54 - 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 7.54 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 7.54, so we can write it down as 100%=7.54.
4. We know, that x% equals 2.74 of the output value, so we can write it down as x%=2.74.
5. Now we have two simple equations:
1) 100%=7.54
2) x%=2.74
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%=7.54/2.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.74 is what percent of 7.54

100%/x%=7.54/2.74
(100/x)*x=(7.54/2.74)*x       - we multiply both sides of the equation by x
100=2.7518248175182*x       - we divide both sides of the equation by (2.7518248175182) to get x
100/2.7518248175182=x
36.339522546419=x
x=36.339522546419

now we have:
2.74 is 36.339522546419% of 7.54

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