16.26 is what percent of 33.526 - 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 33.526 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 33.526, so we can write it down as 100%=33.526.
4. We know, that x% equals 16.26 of the output value, so we can write it down as x%=16.26.
5. Now we have two simple equations:
1) 100%=33.526
2) x%=16.26
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%=33.526/16.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.26 is what percent of 33.526

100%/x%=33.526/16.26
(100/x)*x=(33.526/16.26)*x       - we multiply both sides of the equation by x
100=2.0618696186962*x       - we divide both sides of the equation by (2.0618696186962) to get x
100/2.0618696186962=x
48.499671896439=x
x=48.499671896439

now we have:
16.26 is 48.499671896439% of 33.526