142.09 is what percent of 150.39 - 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 150.39 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 150.39, so we can write it down as 100%=150.39.
4. We know, that x% equals 142.09 of the output value, so we can write it down as x%=142.09.
5. Now we have two simple equations:
1) 100%=150.39
2) x%=142.09
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%=150.39/142.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.09 is what percent of 150.39

100%/x%=150.39/142.09
(100/x)*x=(150.39/142.09)*x       - we multiply both sides of the equation by x
100=1.0584136814695*x       - we divide both sides of the equation by (1.0584136814695) to get x
100/1.0584136814695=x
94.481016025002=x
x=94.481016025002

now we have:
142.09 is 94.481016025002% of 150.39

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