1089.9 is what percent of 7665.45 - 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 7665.45 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 7665.45, so we can write it down as 100%=7665.45.
4. We know, that x% equals 1089.9 of the output value, so we can write it down as x%=1089.9.
5. Now we have two simple equations:
1) 100%=7665.45
2) x%=1089.9
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%=7665.45/1089.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1089.9 is what percent of 7665.45

100%/x%=7665.45/1089.9
(100/x)*x=(7665.45/1089.9)*x       - we multiply both sides of the equation by x
100=7.033168180567*x       - we divide both sides of the equation by (7.033168180567) to get x
100/7.033168180567=x
14.218343345792=x
x=14.218343345792

now we have:
1089.9 is 14.218343345792% of 7665.45