114.04 is what percent of 1140 - 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 1140 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 1140, so we can write it down as 100%=1140.
4. We know, that x% equals 114.04 of the output value, so we can write it down as x%=114.04.
5. Now we have two simple equations:
1) 100%=1140
2) x%=114.04
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%=1140/114.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 114.04 is what percent of 1140

100%/x%=1140/114.04
(100/x)*x=(1140/114.04)*x       - we multiply both sides of the equation by x
100=9.9964924587864*x       - we divide both sides of the equation by (9.9964924587864) to get x
100/9.9964924587864=x
10.00350877193=x
x=10.00350877193

now we have:
114.04 is 10.00350877193% of 1140