25.83 is what percent of 49.2 - 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 49.2 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 49.2, so we can write it down as 100%=49.2.
4. We know, that x% equals 25.83 of the output value, so we can write it down as x%=25.83.
5. Now we have two simple equations:
1) 100%=49.2
2) x%=25.83
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%=49.2/25.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.83 is what percent of 49.2

100%/x%=49.2/25.83
(100/x)*x=(49.2/25.83)*x       - we multiply both sides of the equation by x
100=1.90476190476*x       - we divide both sides of the equation by (1.90476190476) to get x
100/1.90476190476=x
52.5=x
x=52.5

now we have:
25.83 is 52.5% of 49.2

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