20 is what percent of 2929 - 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 2929 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 2929, so we can write it down as 100%=2929.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=2929
2) x%=20
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%=2929/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 2929

100%/x%=2929/20
(100/x)*x=(2929/20)*x       - we multiply both sides of the equation by x
100=146.45*x       - we divide both sides of the equation by (146.45) to get x
100/146.45=x
0.68282690337999=x
x=0.68282690337999

now we have:
20 is 0.68282690337999% of 2929

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