2.74 is what percent of 390 - 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 390 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 390, so we can write it down as 100%=390.
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%=390
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%=390/2.74
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 390

100%/x%=390/2.74
(100/x)*x=(390/2.74)*x       - we multiply both sides of the equation by x
100=142.33576642336*x       - we divide both sides of the equation by (142.33576642336) to get x
100/142.33576642336=x
0.7025641025641=x
x=0.7025641025641

now we have:
2.74 is 0.7025641025641% of 390

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