780.86 is what percent of 1080.86 - 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 1080.86 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 1080.86, so we can write it down as 100%=1080.86.
4. We know, that x% equals 780.86 of the output value, so we can write it down as x%=780.86.
5. Now we have two simple equations:
1) 100%=1080.86
2) x%=780.86
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%=1080.86/780.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 780.86 is what percent of 1080.86

100%/x%=1080.86/780.86
(100/x)*x=(1080.86/780.86)*x       - we multiply both sides of the equation by x
100=1.3841917885408*x       - we divide both sides of the equation by (1.3841917885408) to get x
100/1.3841917885408=x
72.244323964251=x
x=72.244323964251

now we have:
780.86 is 72.244323964251% of 1080.86