51 is what percent of 140.9 - 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 140.9 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 140.9, so we can write it down as 100%=140.9.
4. We know, that x% equals 51 of the output value, so we can write it down as x%=51.
5. Now we have two simple equations:
1) 100%=140.9
2) x%=51
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%=140.9/51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51 is what percent of 140.9

100%/x%=140.9/51
(100/x)*x=(140.9/51)*x       - we multiply both sides of the equation by x
100=2.7627450980392*x       - we divide both sides of the equation by (2.7627450980392) to get x
100/2.7627450980392=x
36.195883605394=x
x=36.195883605394

now we have:
51 is 36.195883605394% of 140.9