1020.75 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 1020.75 of the output value, so we can write it down as x%=1020.75.
5. Now we have two simple equations:
1) 100%=1340
2) x%=1020.75
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%=1340/1020.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1020.75 is what percent of 1340

100%/x%=1340/1020.75
(100/x)*x=(1340/1020.75)*x       - we multiply both sides of the equation by x
100=1.3127602253245*x       - we divide both sides of the equation by (1.3127602253245) to get x
100/1.3127602253245=x
76.175373134328=x
x=76.175373134328

now we have:
1020.75 is 76.175373134328% of 1340