145.1 is what percent of 178.5 - 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 178.5 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 178.5, so we can write it down as 100%=178.5.
4. We know, that x% equals 145.1 of the output value, so we can write it down as x%=145.1.
5. Now we have two simple equations:
1) 100%=178.5
2) x%=145.1
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%=178.5/145.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.1 is what percent of 178.5

100%/x%=178.5/145.1
(100/x)*x=(178.5/145.1)*x       - we multiply both sides of the equation by x
100=1.2301860785665*x       - we divide both sides of the equation by (1.2301860785665) to get x
100/1.2301860785665=x
81.288515406162=x
x=81.288515406162

now we have:
145.1 is 81.288515406162% of 178.5