26.68 is what percent of 46 - 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 46 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 46, so we can write it down as 100%=46.
4. We know, that x% equals 26.68 of the output value, so we can write it down as x%=26.68.
5. Now we have two simple equations:
1) 100%=46
2) x%=26.68
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%=46/26.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.68 is what percent of 46

100%/x%=46/26.68
(100/x)*x=(46/26.68)*x       - we multiply both sides of the equation by x
100=1.7241379310345*x       - we divide both sides of the equation by (1.7241379310345) to get x
100/1.7241379310345=x
58=x
x=58

now we have:
26.68 is 58% of 46