26.47 is what percent of 1016.41 - 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 1016.41 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 1016.41, so we can write it down as 100%=1016.41.
4. We know, that x% equals 26.47 of the output value, so we can write it down as x%=26.47.
5. Now we have two simple equations:
1) 100%=1016.41
2) x%=26.47
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%=1016.41/26.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.47 is what percent of 1016.41

100%/x%=1016.41/26.47
(100/x)*x=(1016.41/26.47)*x       - we multiply both sides of the equation by x
100=38.398564412542*x       - we divide both sides of the equation by (38.398564412542) to get x
100/38.398564412542=x
2.6042640273118=x
x=2.6042640273118

now we have:
26.47 is 2.6042640273118% of 1016.41