846.47 is what percent of 8866.46 - 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 8866.46 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 8866.46, so we can write it down as 100%=8866.46.
4. We know, that x% equals 846.47 of the output value, so we can write it down as x%=846.47.
5. Now we have two simple equations:
1) 100%=8866.46
2) x%=846.47
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%=8866.46/846.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 846.47 is what percent of 8866.46

100%/x%=8866.46/846.47
(100/x)*x=(8866.46/846.47)*x       - we multiply both sides of the equation by x
100=10.474629933725*x       - we divide both sides of the equation by (10.474629933725) to get x
100/10.474629933725=x
9.5468766565236=x
x=9.5468766565236

now we have:
846.47 is 9.5468766565236% of 8866.46