6 is what percent of 10.446 - 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 10.446 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 10.446, so we can write it down as 100%=10.446.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=10.446
2) x%=6
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%=10.446/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 10.446

100%/x%=10.446/6
(100/x)*x=(10.446/6)*x       - we multiply both sides of the equation by x
100=1.741*x       - we divide both sides of the equation by (1.741) to get x
100/1.741=x
57.438253877082=x
x=57.438253877082

now we have:
6 is 57.438253877082% of 10.446