5 is what percent of 21 - 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 21 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 21, so we can write it down as 100%=21.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=21
2) x%=5
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%=21/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 21

100%/x%=21/5
(100/x)*x=(21/5)*x - we multiply both sides of the equation by x
100=4.2*x - we divide both sides of the equation by (4.2) to get x
100/4.2=x
23.8095238095=x
x=23.8095238095

now we have:
5 is 23.8095238095% of 21

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