141.4 is what percent of 148.4 - 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 148.4 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 148.4, so we can write it down as 100%=148.4.
4. We know, that x% equals 141.4 of the output value, so we can write it down as x%=141.4.
5. Now we have two simple equations:
1) 100%=148.4
2) x%=141.4
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%=148.4/141.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 141.4 is what percent of 148.4

100%/x%=148.4/141.4
(100/x)*x=(148.4/141.4)*x       - we multiply both sides of the equation by x
100=1.049504950495*x       - we divide both sides of the equation by (1.049504950495) to get x
100/1.049504950495=x
95.283018867925=x
x=95.283018867925

now we have:
141.4 is 95.283018867925% of 148.4