76.1 is what percent of 152.4 - 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 152.4 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 152.4, so we can write it down as 100%=152.4.
4. We know, that x% equals 76.1 of the output value, so we can write it down as x%=76.1.
5. Now we have two simple equations:
1) 100%=152.4
2) x%=76.1
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%=152.4/76.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.1 is what percent of 152.4

100%/x%=152.4/76.1
(100/x)*x=(152.4/76.1)*x       - we multiply both sides of the equation by x
100=2.0026281208936*x       - we divide both sides of the equation by (2.0026281208936) to get x
100/2.0026281208936=x
49.9343832021=x
x=49.9343832021

now we have:
76.1 is 49.9343832021% of 152.4