7.8 is what percent of 8.3 - 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 8.3 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 8.3, so we can write it down as 100%=8.3.
4. We know, that x% equals 7.8 of the output value, so we can write it down as x%=7.8.
5. Now we have two simple equations:
1) 100%=8.3
2) x%=7.8
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%=8.3/7.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.8 is what percent of 8.3

100%/x%=8.3/7.8
(100/x)*x=(8.3/7.8)*x       - we multiply both sides of the equation by x
100=1.0641025641026*x       - we divide both sides of the equation by (1.0641025641026) to get x
100/1.0641025641026=x
93.975903614458=x
x=93.975903614458

now we have:
7.8 is 93.975903614458% of 8.3