260.2 is what percent of 374.27 - 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 374.27 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 374.27, so we can write it down as 100%=374.27.
4. We know, that x% equals 260.2 of the output value, so we can write it down as x%=260.2.
5. Now we have two simple equations:
1) 100%=374.27
2) x%=260.2
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%=374.27/260.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.2 is what percent of 374.27

100%/x%=374.27/260.2
(100/x)*x=(374.27/260.2)*x       - we multiply both sides of the equation by x
100=1.4383935434281*x       - we divide both sides of the equation by (1.4383935434281) to get x
100/1.4383935434281=x
69.52200283218=x
x=69.52200283218

now we have:
260.2 is 69.52200283218% of 374.27