105.3 is what percent of 64 - 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 64 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 64, so we can write it down as 100%=64.
4. We know, that x% equals 105.3 of the output value, so we can write it down as x%=105.3.
5. Now we have two simple equations:
1) 100%=64
2) x%=105.3
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%=64/105.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.3 is what percent of 64

100%/x%=64/105.3
(100/x)*x=(64/105.3)*x       - we multiply both sides of the equation by x
100=0.60778727445394*x       - we divide both sides of the equation by (0.60778727445394) to get x
100/0.60778727445394=x
164.53125=x
x=164.53125

now we have:
105.3 is 164.53125% of 64