254.23 is what percent of 3755.2 - 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 3755.2 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 3755.2, so we can write it down as 100%=3755.2.
4. We know, that x% equals 254.23 of the output value, so we can write it down as x%=254.23.
5. Now we have two simple equations:
1) 100%=3755.2
2) x%=254.23
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%=3755.2/254.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.23 is what percent of 3755.2

100%/x%=3755.2/254.23
(100/x)*x=(3755.2/254.23)*x       - we multiply both sides of the equation by x
100=14.770876765134*x       - we divide both sides of the equation by (14.770876765134) to get x
100/14.770876765134=x
6.7700788240307=x
x=6.7700788240307

now we have:
254.23 is 6.7700788240307% of 3755.2