366.68 is what percent of 6326.68 - 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 6326.68 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 6326.68, so we can write it down as 100%=6326.68.
4. We know, that x% equals 366.68 of the output value, so we can write it down as x%=366.68.
5. Now we have two simple equations:
1) 100%=6326.68
2) x%=366.68
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%=6326.68/366.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 366.68 is what percent of 6326.68

100%/x%=6326.68/366.68
(100/x)*x=(6326.68/366.68)*x       - we multiply both sides of the equation by x
100=17.253954401658*x       - we divide both sides of the equation by (17.253954401658) to get x
100/17.253954401658=x
5.7957728223966=x
x=5.7957728223966

now we have:
366.68 is 5.7957728223966% of 6326.68