746.1 is what percent of 6586.1 - 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 6586.1 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 6586.1, so we can write it down as 100%=6586.1.
4. We know, that x% equals 746.1 of the output value, so we can write it down as x%=746.1.
5. Now we have two simple equations:
1) 100%=6586.1
2) x%=746.1
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%=6586.1/746.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 746.1 is what percent of 6586.1

100%/x%=6586.1/746.1
(100/x)*x=(6586.1/746.1)*x       - we multiply both sides of the equation by x
100=8.8273689853907*x       - we divide both sides of the equation by (8.8273689853907) to get x
100/8.8273689853907=x
11.328403759433=x
x=11.328403759433

now we have:
746.1 is 11.328403759433% of 6586.1