109.55 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 109.55 of the output value, so we can write it down as x%=109.55.
5. Now we have two simple equations:
1) 100%=849
2) x%=109.55
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%=849/109.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.55 is what percent of 849

100%/x%=849/109.55
(100/x)*x=(849/109.55)*x       - we multiply both sides of the equation by x
100=7.7498858968508*x       - we divide both sides of the equation by (7.7498858968508) to get x
100/7.7498858968508=x
12.903415783274=x
x=12.903415783274

now we have:
109.55 is 12.903415783274% of 849