47.67 is what percent of 136.14 - 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 136.14 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 136.14, so we can write it down as 100%=136.14.
4. We know, that x% equals 47.67 of the output value, so we can write it down as x%=47.67.
5. Now we have two simple equations:
1) 100%=136.14
2) x%=47.67
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%=136.14/47.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.67 is what percent of 136.14

100%/x%=136.14/47.67
(100/x)*x=(136.14/47.67)*x       - we multiply both sides of the equation by x
100=2.8558842039018*x       - we divide both sides of the equation by (2.8558842039018) to get x
100/2.8558842039018=x
35.015425297488=x
x=35.015425297488

now we have:
47.67 is 35.015425297488% of 136.14