145.34 is what percent of 1208.54 - 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 1208.54 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 1208.54, so we can write it down as 100%=1208.54.
4. We know, that x% equals 145.34 of the output value, so we can write it down as x%=145.34.
5. Now we have two simple equations:
1) 100%=1208.54
2) x%=145.34
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%=1208.54/145.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.34 is what percent of 1208.54

100%/x%=1208.54/145.34
(100/x)*x=(1208.54/145.34)*x       - we multiply both sides of the equation by x
100=8.3152607678547*x       - we divide both sides of the equation by (8.3152607678547) to get x
100/8.3152607678547=x
12.026081056481=x
x=12.026081056481

now we have:
145.34 is 12.026081056481% of 1208.54