25.44 is what percent of 14 - 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 14 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 14, so we can write it down as 100%=14.
4. We know, that x% equals 25.44 of the output value, so we can write it down as x%=25.44.
5. Now we have two simple equations:
1) 100%=14
2) x%=25.44
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%=14/25.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.44 is what percent of 14

100%/x%=14/25.44
(100/x)*x=(14/25.44)*x       - we multiply both sides of the equation by x
100=0.55031446540881*x       - we divide both sides of the equation by (0.55031446540881) to get x
100/0.55031446540881=x
181.71428571429=x
x=181.71428571429

now we have:
25.44 is 181.71428571429% of 14

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