18.38 is what percent of 61.202 - 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 61.202 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 61.202, so we can write it down as 100%=61.202.
4. We know, that x% equals 18.38 of the output value, so we can write it down as x%=18.38.
5. Now we have two simple equations:
1) 100%=61.202
2) x%=18.38
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%=61.202/18.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.38 is what percent of 61.202

100%/x%=61.202/18.38
(100/x)*x=(61.202/18.38)*x       - we multiply both sides of the equation by x
100=3.3298150163221*x       - we divide both sides of the equation by (3.3298150163221) to get x
100/3.3298150163221=x
30.031698310513=x
x=30.031698310513

now we have:
18.38 is 30.031698310513% of 61.202