64.93 is what percent of 231.9 - 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 231.9 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 231.9, so we can write it down as 100%=231.9.
4. We know, that x% equals 64.93 of the output value, so we can write it down as x%=64.93.
5. Now we have two simple equations:
1) 100%=231.9
2) x%=64.93
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%=231.9/64.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.93 is what percent of 231.9

100%/x%=231.9/64.93
(100/x)*x=(231.9/64.93)*x       - we multiply both sides of the equation by x
100=3.57153858001*x       - we divide both sides of the equation by (3.57153858001) to get x
100/3.57153858001=x
27.9991375593=x
x=27.9991375593

now we have:
64.93 is 27.9991375593% of 231.9