29.3 is what percent of 8.626 - 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 8.626 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 8.626, so we can write it down as 100%=8.626.
4. We know, that x% equals 29.3 of the output value, so we can write it down as x%=29.3.
5. Now we have two simple equations:
1) 100%=8.626
2) x%=29.3
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%=8.626/29.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.3 is what percent of 8.626

100%/x%=8.626/29.3
(100/x)*x=(8.626/29.3)*x       - we multiply both sides of the equation by x
100=0.29440273037543*x       - we divide both sides of the equation by (0.29440273037543) to get x
100/0.29440273037543=x
339.67076281011=x
x=339.67076281011

now we have:
29.3 is 339.67076281011% of 8.626

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