64.55 is what percent of 89.3 - 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 89.3 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 89.3, so we can write it down as 100%=89.3.
4. We know, that x% equals 64.55 of the output value, so we can write it down as x%=64.55.
5. Now we have two simple equations:
1) 100%=89.3
2) x%=64.55
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%=89.3/64.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.55 is what percent of 89.3

100%/x%=89.3/64.55
(100/x)*x=(89.3/64.55)*x       - we multiply both sides of the equation by x
100=1.3834237025562*x       - we divide both sides of the equation by (1.3834237025562) to get x
100/1.3834237025562=x
72.284434490482=x
x=72.284434490482

now we have:
64.55 is 72.284434490482% of 89.3