60.2 is what percent of 80.2 - 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 80.2 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 80.2, so we can write it down as 100%=80.2.
4. We know, that x% equals 60.2 of the output value, so we can write it down as x%=60.2.
5. Now we have two simple equations:
1) 100%=80.2
2) x%=60.2
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%=80.2/60.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.2 is what percent of 80.2

100%/x%=80.2/60.2
(100/x)*x=(80.2/60.2)*x       - we multiply both sides of the equation by x
100=1.3322259136213*x       - we divide both sides of the equation by (1.3322259136213) to get x
100/1.3322259136213=x
75.062344139651=x
x=75.062344139651

now we have:
60.2 is 75.062344139651% of 80.2