6.58 is what percent of 25.4 - 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 25.4 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 25.4, so we can write it down as 100%=25.4.
4. We know, that x% equals 6.58 of the output value, so we can write it down as x%=6.58.
5. Now we have two simple equations:
1) 100%=25.4
2) x%=6.58
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%=25.4/6.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.58 is what percent of 25.4

100%/x%=25.4/6.58
(100/x)*x=(25.4/6.58)*x       - we multiply both sides of the equation by x
100=3.8601823708207*x       - we divide both sides of the equation by (3.8601823708207) to get x
100/3.8601823708207=x
25.905511811024=x
x=25.905511811024

now we have:
6.58 is 25.905511811024% of 25.4