1089.48 is what percent of 6155.37 - 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 6155.37 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 6155.37, so we can write it down as 100%=6155.37.
4. We know, that x% equals 1089.48 of the output value, so we can write it down as x%=1089.48.
5. Now we have two simple equations:
1) 100%=6155.37
2) x%=1089.48
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%=6155.37/1089.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1089.48 is what percent of 6155.37

100%/x%=6155.37/1089.48
(100/x)*x=(6155.37/1089.48)*x       - we multiply both sides of the equation by x
100=5.6498237691376*x       - we divide both sides of the equation by (5.6498237691376) to get x
100/5.6498237691376=x
17.699667119929=x
x=17.699667119929

now we have:
1089.48 is 17.699667119929% of 6155.37