38 is what percent of 223 - 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 223 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 223, so we can write it down as 100%=223.
4. We know, that x% equals 38 of the output value, so we can write it down as x%=38.
5. Now we have two simple equations:
1) 100%=223
2) x%=38
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%=223/38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38 is what percent of 223

100%/x%=223/38
(100/x)*x=(223/38)*x - we multiply both sides of the equation by x
100=5.6*x - we divide both sides of the equation by (5.6) to get x
100/5.6=x
17.=x
x=17.

now we have:
38 is 17.% of 223

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