26 is what percent of 116.23 - 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 116.23 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 116.23, so we can write it down as 100%=116.23.
4. We know, that x% equals 26 of the output value, so we can write it down as x%=26.
5. Now we have two simple equations:
1) 100%=116.23
2) x%=26
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%=116.23/26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26 is what percent of 116.23

100%/x%=116.23/26
(100/x)*x=(116.23/26)*x       - we multiply both sides of the equation by x
100=4.4703846153846*x       - we divide both sides of the equation by (4.4703846153846) to get x
100/4.4703846153846=x
22.369439903639=x
x=22.369439903639

now we have:
26 is 22.369439903639% of 116.23