130.53 is what percent of 1305.36 - 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 1305.36 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 1305.36, so we can write it down as 100%=1305.36.
4. We know, that x% equals 130.53 of the output value, so we can write it down as x%=130.53.
5. Now we have two simple equations:
1) 100%=1305.36
2) x%=130.53
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%=1305.36/130.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.53 is what percent of 1305.36

100%/x%=1305.36/130.53
(100/x)*x=(1305.36/130.53)*x       - we multiply both sides of the equation by x
100=10.000459664445*x       - we divide both sides of the equation by (10.000459664445) to get x
100/10.000459664445=x
9.9995403566832=x
x=9.9995403566832

now we have:
130.53 is 9.9995403566832% of 1305.36