114.5 is what percent of 1340 - 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 1340 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 1340, so we can write it down as 100%=1340.
4. We know, that x% equals 114.5 of the output value, so we can write it down as x%=114.5.
5. Now we have two simple equations:
1) 100%=1340
2) x%=114.5
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%=1340/114.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 114.5 is what percent of 1340

100%/x%=1340/114.5
(100/x)*x=(1340/114.5)*x       - we multiply both sides of the equation by x
100=11.703056768559*x       - we divide both sides of the equation by (11.703056768559) to get x
100/11.703056768559=x
8.544776119403=x
x=8.544776119403

now we have:
114.5 is 8.544776119403% of 1340