1.3 is what percent of 257.3 - 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 257.3 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 257.3, so we can write it down as 100%=257.3.
4. We know, that x% equals 1.3 of the output value, so we can write it down as x%=1.3.
5. Now we have two simple equations:
1) 100%=257.3
2) x%=1.3
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%=257.3/1.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.3 is what percent of 257.3

100%/x%=257.3/1.3
(100/x)*x=(257.3/1.3)*x       - we multiply both sides of the equation by x
100=197.92307692308*x       - we divide both sides of the equation by (197.92307692308) to get x
100/197.92307692308=x
0.50524679362612=x
x=0.50524679362612

now we have:
1.3 is 0.50524679362612% of 257.3