48.2 is what percent of 73.1 - 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 73.1 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 73.1, so we can write it down as 100%=73.1.
4. We know, that x% equals 48.2 of the output value, so we can write it down as x%=48.2.
5. Now we have two simple equations:
1) 100%=73.1
2) x%=48.2
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%=73.1/48.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.2 is what percent of 73.1

100%/x%=73.1/48.2
(100/x)*x=(73.1/48.2)*x       - we multiply both sides of the equation by x
100=1.5165975103734*x       - we divide both sides of the equation by (1.5165975103734) to get x
100/1.5165975103734=x
65.93707250342=x
x=65.93707250342

now we have:
48.2 is 65.93707250342% of 73.1

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