65.01 is what percent of 93 - 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 93 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 93, so we can write it down as 100%=93.
4. We know, that x% equals 65.01 of the output value, so we can write it down as x%=65.01.
5. Now we have two simple equations:
1) 100%=93
2) x%=65.01
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%=93/65.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.01 is what percent of 93

100%/x%=93/65.01
(100/x)*x=(93/65.01)*x       - we multiply both sides of the equation by x
100=1.4305491462852*x       - we divide both sides of the equation by (1.4305491462852) to get x
100/1.4305491462852=x
69.903225806452=x
x=69.903225806452

now we have:
65.01 is 69.903225806452% of 93