26 is what percent of 4023 - 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 4023 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 4023, so we can write it down as 100%=4023.
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%=4023
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%=4023/26
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 4023

100%/x%=4023/26
(100/x)*x=(4023/26)*x       - we multiply both sides of the equation by x
100=154.73076923077*x       - we divide both sides of the equation by (154.73076923077) to get x
100/154.73076923077=x
0.64628386776038=x
x=0.64628386776038

now we have:
26 is 0.64628386776038% of 4023