10.64 is what percent of 236.5 - 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 236.5 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 236.5, so we can write it down as 100%=236.5.
4. We know, that x% equals 10.64 of the output value, so we can write it down as x%=10.64.
5. Now we have two simple equations:
1) 100%=236.5
2) x%=10.64
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%=236.5/10.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.64 is what percent of 236.5

100%/x%=236.5/10.64
(100/x)*x=(236.5/10.64)*x       - we multiply both sides of the equation by x
100=22.227443609023*x       - we divide both sides of the equation by (22.227443609023) to get x
100/22.227443609023=x
4.4989429175476=x
x=4.4989429175476

now we have:
10.64 is 4.4989429175476% of 236.5