What is 65.12 percent of 258 - 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 258 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 258 is 100%, so we can write it down as 258=100%.
4. We know, that x is 65.12% of the output value, so we can write it down as x=65.12%.
5. Now we have two simple equations:
1) 258=100%
2) x=65.12%
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:
258/x=100%/65.12%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 65.12% of 258

258/x=100/65.12
(258/x)*x=(100/65.12)*x       - we multiply both sides of the equation by x
258=1.5356265356265*x       - we divide both sides of the equation by (1.5356265356265) to get x
258/1.5356265356265=x
168.0096=x
x=168.0096

now we have:
65.12% of 258=168.0096