65 is what percent of 83.8 - 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 83.8 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 83.8, so we can write it down as 100%=83.8.
4. We know, that x% equals 65 of the output value, so we can write it down as x%=65.
5. Now we have two simple equations:
1) 100%=83.8
2) x%=65
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%=83.8/65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65 is what percent of 83.8

100%/x%=83.8/65
(100/x)*x=(83.8/65)*x       - we multiply both sides of the equation by x
100=1.2892307692308*x       - we divide both sides of the equation by (1.2892307692308) to get x
100/1.2892307692308=x
77.565632458234=x
x=77.565632458234

now we have:
65 is 77.565632458234% of 83.8