6.9 is what percent of 41800 - 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 41800 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 41800, so we can write it down as 100%=41800.
4. We know, that x% equals 6.9 of the output value, so we can write it down as x%=6.9.
5. Now we have two simple equations:
1) 100%=41800
2) x%=6.9
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%=41800/6.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.9 is what percent of 41800

100%/x%=41800/6.9
(100/x)*x=(41800/6.9)*x       - we multiply both sides of the equation by x
100=6057.9710144928*x       - we divide both sides of the equation by (6057.9710144928) to get x
100/6057.9710144928=x
0.016507177033493=x
x=0.016507177033493

now we have:
6.9 is 0.016507177033493% of 41800

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