26 is what percent of 3517 - 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 3517 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 3517, so we can write it down as 100%=3517.
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%=3517
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%=3517/26
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 3517

100%/x%=3517/26
(100/x)*x=(3517/26)*x       - we multiply both sides of the equation by x
100=135.26923076923*x       - we divide both sides of the equation by (135.26923076923) to get x
100/135.26923076923=x
0.73926642024453=x
x=0.73926642024453

now we have:
26 is 0.73926642024453% of 3517