1.67 is what percent of 4.49 - 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 4.49 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 4.49, so we can write it down as 100%=4.49.
4. We know, that x% equals 1.67 of the output value, so we can write it down as x%=1.67.
5. Now we have two simple equations:
1) 100%=4.49
2) x%=1.67
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%=4.49/1.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.67 is what percent of 4.49

100%/x%=4.49/1.67
(100/x)*x=(4.49/1.67)*x       - we multiply both sides of the equation by x
100=2.688622754491*x       - we divide both sides of the equation by (2.688622754491) to get x
100/2.688622754491=x
37.193763919822=x
x=37.193763919822

now we have:
1.67 is 37.193763919822% of 4.49