55 is what percent of 120 - 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 120 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 120, so we can write it down as 100%=120.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=120
2) x%=55
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%=120/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 120

100%/x%=120/55
(100/x)*x=(120/55)*x - we multiply both sides of the equation by x
100=2.18181818182*x - we divide both sides of the equation by (2.18181818182) to get x
100/2.18181818182=x
45.8333333333=x
x=45.8333333333

now we have:
55 is 45.8333333333% of 120

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