260.1 is what percent of 400 - 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 400 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 400, so we can write it down as 100%=400.
4. We know, that x% equals 260.1 of the output value, so we can write it down as x%=260.1.
5. Now we have two simple equations:
1) 100%=400
2) x%=260.1
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%=400/260.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.1 is what percent of 400

100%/x%=400/260.1
(100/x)*x=(400/260.1)*x       - we multiply both sides of the equation by x
100=1.5378700499808*x       - we divide both sides of the equation by (1.5378700499808) to get x
100/1.5378700499808=x
65.025=x
x=65.025

now we have:
260.1 is 65.025% of 400