7.2 is what percent of 257.4 - 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 257.4 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 257.4, so we can write it down as 100%=257.4.
4. We know, that x% equals 7.2 of the output value, so we can write it down as x%=7.2.
5. Now we have two simple equations:
1) 100%=257.4
2) x%=7.2
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%=257.4/7.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.2 is what percent of 257.4

100%/x%=257.4/7.2
(100/x)*x=(257.4/7.2)*x       - we multiply both sides of the equation by x
100=35.75*x       - we divide both sides of the equation by (35.75) to get x
100/35.75=x
2.7972027972028=x
x=2.7972027972028

now we have:
7.2 is 2.7972027972028% of 257.4