5.25 is what percent of 105.25 - 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 105.25 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 105.25, so we can write it down as 100%=105.25.
4. We know, that x% equals 5.25 of the output value, so we can write it down as x%=5.25.
5. Now we have two simple equations:
1) 100%=105.25
2) x%=5.25
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%=105.25/5.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.25 is what percent of 105.25

100%/x%=105.25/5.25
(100/x)*x=(105.25/5.25)*x       - we multiply both sides of the equation by x
100=20.047619047619*x       - we divide both sides of the equation by (20.047619047619) to get x
100/20.047619047619=x
4.9881235154394=x
x=4.9881235154394

now we have:
5.25 is 4.9881235154394% of 105.25

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