1024.7 is what percent of 1380 - 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 1380 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 1380, so we can write it down as 100%=1380.
4. We know, that x% equals 1024.7 of the output value, so we can write it down as x%=1024.7.
5. Now we have two simple equations:
1) 100%=1380
2) x%=1024.7
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%=1380/1024.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1024.7 is what percent of 1380

100%/x%=1380/1024.7
(100/x)*x=(1380/1024.7)*x       - we multiply both sides of the equation by x
100=1.3467356299405*x       - we divide both sides of the equation by (1.3467356299405) to get x
100/1.3467356299405=x
74.253623188406=x
x=74.253623188406

now we have:
1024.7 is 74.253623188406% of 1380