65.64 is what percent of 741.4 - 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 741.4 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 741.4, so we can write it down as 100%=741.4.
4. We know, that x% equals 65.64 of the output value, so we can write it down as x%=65.64.
5. Now we have two simple equations:
1) 100%=741.4
2) x%=65.64
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%=741.4/65.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.64 is what percent of 741.4

100%/x%=741.4/65.64
(100/x)*x=(741.4/65.64)*x       - we multiply both sides of the equation by x
100=11.29494210847*x       - we divide both sides of the equation by (11.29494210847) to get x
100/11.29494210847=x
8.8535203668735=x
x=8.8535203668735

now we have:
65.64 is 8.8535203668735% of 741.4