49.8 is what percent of 57.8 - 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 57.8 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 57.8, so we can write it down as 100%=57.8.
4. We know, that x% equals 49.8 of the output value, so we can write it down as x%=49.8.
5. Now we have two simple equations:
1) 100%=57.8
2) x%=49.8
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%=57.8/49.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.8 is what percent of 57.8

100%/x%=57.8/49.8
(100/x)*x=(57.8/49.8)*x       - we multiply both sides of the equation by x
100=1.1606425702811*x       - we divide both sides of the equation by (1.1606425702811) to get x
100/1.1606425702811=x
86.159169550173=x
x=86.159169550173

now we have:
49.8 is 86.159169550173% of 57.8

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