33 is what percent of 18526 - 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 18526 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 18526, so we can write it down as 100%=18526.
4. We know, that x% equals 33 of the output value, so we can write it down as x%=33.
5. Now we have two simple equations:
1) 100%=18526
2) x%=33
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%=18526/33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33 is what percent of 18526

100%/x%=18526/33
(100/x)*x=(18526/33)*x       - we multiply both sides of the equation by x
100=561.39393939394*x       - we divide both sides of the equation by (561.39393939394) to get x
100/561.39393939394=x
0.17812803627335=x
x=0.17812803627335

now we have:
33 is 0.17812803627335% of 18526