846.96 is what percent of 756.84 - 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 756.84 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 756.84, so we can write it down as 100%=756.84.
4. We know, that x% equals 846.96 of the output value, so we can write it down as x%=846.96.
5. Now we have two simple equations:
1) 100%=756.84
2) x%=846.96
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%=756.84/846.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 846.96 is what percent of 756.84

100%/x%=756.84/846.96
(100/x)*x=(756.84/846.96)*x       - we multiply both sides of the equation by x
100=0.89359591952394*x       - we divide both sides of the equation by (0.89359591952394) to get x
100/0.89359591952394=x
111.90740447122=x
x=111.90740447122

now we have:
846.96 is 111.90740447122% of 756.84