64.99 is what percent of 65.19 - 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 65.19 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 65.19, so we can write it down as 100%=65.19.
4. We know, that x% equals 64.99 of the output value, so we can write it down as x%=64.99.
5. Now we have two simple equations:
1) 100%=65.19
2) x%=64.99
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%=65.19/64.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.99 is what percent of 65.19

100%/x%=65.19/64.99
(100/x)*x=(65.19/64.99)*x       - we multiply both sides of the equation by x
100=1.0030773965225*x       - we divide both sides of the equation by (1.0030773965225) to get x
100/1.0030773965225=x
99.693204479215=x
x=99.693204479215

now we have:
64.99 is 99.693204479215% of 65.19