8.74 is what percent of 12.975 - 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 12.975 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 12.975, so we can write it down as 100%=12.975.
4. We know, that x% equals 8.74 of the output value, so we can write it down as x%=8.74.
5. Now we have two simple equations:
1) 100%=12.975
2) x%=8.74
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%=12.975/8.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.74 is what percent of 12.975

100%/x%=12.975/8.74
(100/x)*x=(12.975/8.74)*x       - we multiply both sides of the equation by x
100=1.4845537757437*x       - we divide both sides of the equation by (1.4845537757437) to get x
100/1.4845537757437=x
67.360308285164=x
x=67.360308285164

now we have:
8.74 is 67.360308285164% of 12.975