109.76 is what percent of 1189 - 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 1189 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 1189, so we can write it down as 100%=1189.
4. We know, that x% equals 109.76 of the output value, so we can write it down as x%=109.76.
5. Now we have two simple equations:
1) 100%=1189
2) x%=109.76
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%=1189/109.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.76 is what percent of 1189

100%/x%=1189/109.76
(100/x)*x=(1189/109.76)*x       - we multiply both sides of the equation by x
100=10.832725947522*x       - we divide both sides of the equation by (10.832725947522) to get x
100/10.832725947522=x
9.2312867956266=x
x=9.2312867956266

now we have:
109.76 is 9.2312867956266% of 1189