12.74 is what percent of 159.24 - 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 159.24 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 159.24, so we can write it down as 100%=159.24.
4. We know, that x% equals 12.74 of the output value, so we can write it down as x%=12.74.
5. Now we have two simple equations:
1) 100%=159.24
2) x%=12.74
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%=159.24/12.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.74 is what percent of 159.24

100%/x%=159.24/12.74
(100/x)*x=(159.24/12.74)*x       - we multiply both sides of the equation by x
100=12.499215070644*x       - we divide both sides of the equation by (12.499215070644) to get x
100/12.499215070644=x
8.0005023863351=x
x=8.0005023863351

now we have:
12.74 is 8.0005023863351% of 159.24