26.79 is what percent of 223.21 - 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 223.21 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 223.21, so we can write it down as 100%=223.21.
4. We know, that x% equals 26.79 of the output value, so we can write it down as x%=26.79.
5. Now we have two simple equations:
1) 100%=223.21
2) x%=26.79
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%=223.21/26.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.79 is what percent of 223.21

100%/x%=223.21/26.79
(100/x)*x=(223.21/26.79)*x       - we multiply both sides of the equation by x
100=8.3318402388951*x       - we divide both sides of the equation by (8.3318402388951) to get x
100/8.3318402388951=x
12.002150441288=x
x=12.002150441288

now we have:
26.79 is 12.002150441288% of 223.21