26 is what percent of 6046 - 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 6046 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 6046, so we can write it down as 100%=6046.
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%=6046
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%=6046/26
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 6046

100%/x%=6046/26
(100/x)*x=(6046/26)*x       - we multiply both sides of the equation by x
100=232.53846153846*x       - we divide both sides of the equation by (232.53846153846) to get x
100/232.53846153846=x
0.43003638769434=x
x=0.43003638769434

now we have:
26 is 0.43003638769434% of 6046