3.8 is what percent of 9.4 - 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 9.4 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 9.4, so we can write it down as 100%=9.4.
4. We know, that x% equals 3.8 of the output value, so we can write it down as x%=3.8.
5. Now we have two simple equations:
1) 100%=9.4
2) x%=3.8
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%=9.4/3.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.8 is what percent of 9.4

100%/x%=9.4/3.8
(100/x)*x=(9.4/3.8)*x       - we multiply both sides of the equation by x
100=2.4736842105263*x       - we divide both sides of the equation by (2.4736842105263) to get x
100/2.4736842105263=x
40.425531914894=x
x=40.425531914894

now we have:
3.8 is 40.425531914894% of 9.4

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