2.67 is what percent of 12.58 - 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 12.58 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 12.58, so we can write it down as 100%=12.58.
4. We know, that x% equals 2.67 of the output value, so we can write it down as x%=2.67.
5. Now we have two simple equations:
1) 100%=12.58
2) x%=2.67
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%=12.58/2.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.67 is what percent of 12.58

100%/x%=12.58/2.67
(100/x)*x=(12.58/2.67)*x       - we multiply both sides of the equation by x
100=4.7116104868914*x       - we divide both sides of the equation by (4.7116104868914) to get x
100/4.7116104868914=x
21.224165341812=x
x=21.224165341812

now we have:
2.67 is 21.224165341812% of 12.58