220.45 is what percent of 26138.72 - 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 26138.72 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 26138.72, so we can write it down as 100%=26138.72.
4. We know, that x% equals 220.45 of the output value, so we can write it down as x%=220.45.
5. Now we have two simple equations:
1) 100%=26138.72
2) x%=220.45
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%=26138.72/220.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 220.45 is what percent of 26138.72

100%/x%=26138.72/220.45
(100/x)*x=(26138.72/220.45)*x       - we multiply both sides of the equation by x
100=118.56983442958*x       - we divide both sides of the equation by (118.56983442958) to get x
100/118.56983442958=x
0.84338483292219=x
x=0.84338483292219

now we have:
220.45 is 0.84338483292219% of 26138.72