6.9 is what percent of 41.2 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 41.2 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 41.2, so we can write it down as 100%=41.2.
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%=41.2
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%=41.2/6.9
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 41.2

100%/x%=41.2/6.9
(100/x)*x=(41.2/6.9)*x       - we multiply both sides of the equation by x
100=5.9710144927536*x       - we divide both sides of the equation by (5.9710144927536) to get x
100/5.9710144927536=x
16.747572815534=x
x=16.747572815534

now we have:
6.9 is 16.747572815534% of 41.2