64.6 is what percent of 321.2 - 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 321.2 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 321.2, so we can write it down as 100%=321.2.
4. We know, that x% equals 64.6 of the output value, so we can write it down as x%=64.6.
5. Now we have two simple equations:
1) 100%=321.2
2) x%=64.6
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%=321.2/64.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.6 is what percent of 321.2

100%/x%=321.2/64.6
(100/x)*x=(321.2/64.6)*x       - we multiply both sides of the equation by x
100=4.9721362229102*x       - we divide both sides of the equation by (4.9721362229102) to get x
100/4.9721362229102=x
20.112079701121=x
x=20.112079701121

now we have:
64.6 is 20.112079701121% of 321.2