30 is what percent of 189 - 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 189 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 189, so we can write it down as 100%=189.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=189
2) x%=30
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%=189/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 189

100%/x%=189/30
(100/x)*x=(189/30)*x - we multiply both sides of the equation by x
100=6.3*x - we divide both sides of the equation by (6.3) to get x
100/6.3=x
15.=x
x=15.

now we have:
30 is 15.% of 189

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