26.44 is what percent of 1823.4 - 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 1823.4 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 1823.4, so we can write it down as 100%=1823.4.
4. We know, that x% equals 26.44 of the output value, so we can write it down as x%=26.44.
5. Now we have two simple equations:
1) 100%=1823.4
2) x%=26.44
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%=1823.4/26.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.44 is what percent of 1823.4

100%/x%=1823.4/26.44
(100/x)*x=(1823.4/26.44)*x       - we multiply both sides of the equation by x
100=68.963691376702*x       - we divide both sides of the equation by (68.963691376702) to get x
100/68.963691376702=x
1.4500383898212=x
x=1.4500383898212

now we have:
26.44 is 1.4500383898212% of 1823.4