26.49 is what percent of 119.99 - 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 119.99 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 119.99, so we can write it down as 100%=119.99.
4. We know, that x% equals 26.49 of the output value, so we can write it down as x%=26.49.
5. Now we have two simple equations:
1) 100%=119.99
2) x%=26.49
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%=119.99/26.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.49 is what percent of 119.99

100%/x%=119.99/26.49
(100/x)*x=(119.99/26.49)*x       - we multiply both sides of the equation by x
100=4.5296338240846*x       - we divide both sides of the equation by (4.5296338240846) to get x
100/4.5296338240846=x
22.076839736645=x
x=22.076839736645

now we have:
26.49 is 22.076839736645% of 119.99