97.8 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 97.8 of the output value, so we can write it down as x%=97.8.
5. Now we have two simple equations:
1) 100%=100
2) x%=97.8
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%=100/97.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.8 is what percent of 100

100%/x%=100/97.8
(100/x)*x=(100/97.8)*x - we multiply both sides of the equation by x
100=1.02249488753*x - we divide both sides of the equation by (1.02249488753) to get x
100/1.02249488753=x
97.8=x
x=97.8

now we have:
97.8 is 97.8% of 100

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