0.18 is what percent of 0.633 - 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 0.633 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 0.633, so we can write it down as 100%=0.633.
4. We know, that x% equals 0.18 of the output value, so we can write it down as x%=0.18.
5. Now we have two simple equations:
1) 100%=0.633
2) x%=0.18
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%=0.633/0.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.18 is what percent of 0.633

100%/x%=0.633/0.18
(100/x)*x=(0.633/0.18)*x       - we multiply both sides of the equation by x
100=3.5166666666667*x       - we divide both sides of the equation by (3.5166666666667) to get x
100/3.5166666666667=x
28.436018957346=x
x=28.436018957346

now we have:
0.18 is 28.436018957346% of 0.633