65.1 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 65.1 of the output value, so we can write it down as x%=65.1.
5. Now we have two simple equations:
1) 100%=82.1
2) x%=65.1
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%=82.1/65.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.1 is what percent of 82.1

100%/x%=82.1/65.1
(100/x)*x=(82.1/65.1)*x       - we multiply both sides of the equation by x
100=1.2611367127496*x       - we divide both sides of the equation by (1.2611367127496) to get x
100/1.2611367127496=x
79.293544457978=x
x=79.293544457978

now we have:
65.1 is 79.293544457978% of 82.1