42 is what percent of 203 - 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 203 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 203, so we can write it down as 100%=203.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=203
2) x%=42
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%=203/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 203

100%/x%=203/42
(100/x)*x=(203/42)*x - we multiply both sides of the equation by x
100=4.3*x - we divide both sides of the equation by (4.3) to get x
100/4.3=x
20.=x
x=20.

now we have:
42 is 20.% of 203

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