1257.38 is what percent of 13504.48 - 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 13504.48 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 13504.48, so we can write it down as 100%=13504.48.
4. We know, that x% equals 1257.38 of the output value, so we can write it down as x%=1257.38.
5. Now we have two simple equations:
1) 100%=13504.48
2) x%=1257.38
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%=13504.48/1257.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1257.38 is what percent of 13504.48

100%/x%=13504.48/1257.38
(100/x)*x=(13504.48/1257.38)*x       - we multiply both sides of the equation by x
100=10.740174012629*x       - we divide both sides of the equation by (10.740174012629) to get x
100/10.740174012629=x
9.3108361077213=x
x=9.3108361077213

now we have:
1257.38 is 9.3108361077213% of 13504.48