78 is what percent of 82.1 - 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 82.1 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 82.1, so we can write it down as 100%=82.1.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=82.1
2) x%=78
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%=82.1/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78 is what percent of 82.1

100%/x%=82.1/78
(100/x)*x=(82.1/78)*x       - we multiply both sides of the equation by x
100=1.0525641025641*x       - we divide both sides of the equation by (1.0525641025641) to get x
100/1.0525641025641=x
95.006090133983=x
x=95.006090133983

now we have:
78 is 95.006090133983% of 82.1