130.3 is what percent of 311.4 - 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 311.4 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 311.4, so we can write it down as 100%=311.4.
4. We know, that x% equals 130.3 of the output value, so we can write it down as x%=130.3.
5. Now we have two simple equations:
1) 100%=311.4
2) x%=130.3
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%=311.4/130.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.3 is what percent of 311.4

100%/x%=311.4/130.3
(100/x)*x=(311.4/130.3)*x       - we multiply both sides of the equation by x
100=2.3898695318496*x       - we divide both sides of the equation by (2.3898695318496) to get x
100/2.3898695318496=x
41.84328837508=x
x=41.84328837508

now we have:
130.3 is 41.84328837508% of 311.4