29.84 is what percent of 26.74 - 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 26.74 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 26.74, so we can write it down as 100%=26.74.
4. We know, that x% equals 29.84 of the output value, so we can write it down as x%=29.84.
5. Now we have two simple equations:
1) 100%=26.74
2) x%=29.84
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%=26.74/29.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.84 is what percent of 26.74

100%/x%=26.74/29.84
(100/x)*x=(26.74/29.84)*x       - we multiply both sides of the equation by x
100=0.89611260053619*x       - we divide both sides of the equation by (0.89611260053619) to get x
100/0.89611260053619=x
111.59311892296=x
x=111.59311892296

now we have:
29.84 is 111.59311892296% of 26.74