95.42 is what percent of 1110 - 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 1110 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 1110, so we can write it down as 100%=1110.
4. We know, that x% equals 95.42 of the output value, so we can write it down as x%=95.42.
5. Now we have two simple equations:
1) 100%=1110
2) x%=95.42
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%=1110/95.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.42 is what percent of 1110

100%/x%=1110/95.42
(100/x)*x=(1110/95.42)*x       - we multiply both sides of the equation by x
100=11.63278138755*x       - we divide both sides of the equation by (11.63278138755) to get x
100/11.63278138755=x
8.5963963963964=x
x=8.5963963963964

now we have:
95.42 is 8.5963963963964% of 1110