360.82 is what percent of 849 - 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 849 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 849, so we can write it down as 100%=849.
4. We know, that x% equals 360.82 of the output value, so we can write it down as x%=360.82.
5. Now we have two simple equations:
1) 100%=849
2) x%=360.82
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%=849/360.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 360.82 is what percent of 849

100%/x%=849/360.82
(100/x)*x=(849/360.82)*x       - we multiply both sides of the equation by x
100=2.3529737819411*x       - we divide both sides of the equation by (2.3529737819411) to get x
100/2.3529737819411=x
42.499411071849=x
x=42.499411071849

now we have:
360.82 is 42.499411071849% of 849