849.91 is what percent of 2446.06 - 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 2446.06 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 2446.06, so we can write it down as 100%=2446.06.
4. We know, that x% equals 849.91 of the output value, so we can write it down as x%=849.91.
5. Now we have two simple equations:
1) 100%=2446.06
2) x%=849.91
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%=2446.06/849.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 849.91 is what percent of 2446.06

100%/x%=2446.06/849.91
(100/x)*x=(2446.06/849.91)*x       - we multiply both sides of the equation by x
100=2.8780223788401*x       - we divide both sides of the equation by (2.8780223788401) to get x
100/2.8780223788401=x
34.746081453439=x
x=34.746081453439

now we have:
849.91 is 34.746081453439% of 2446.06