38.34 is what percent of 61.66 - 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 61.66 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 61.66, so we can write it down as 100%=61.66.
4. We know, that x% equals 38.34 of the output value, so we can write it down as x%=38.34.
5. Now we have two simple equations:
1) 100%=61.66
2) x%=38.34
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%=61.66/38.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.34 is what percent of 61.66

100%/x%=61.66/38.34
(100/x)*x=(61.66/38.34)*x       - we multiply both sides of the equation by x
100=1.6082420448618*x       - we divide both sides of the equation by (1.6082420448618) to get x
100/1.6082420448618=x
62.179695102173=x
x=62.179695102173

now we have:
38.34 is 62.179695102173% of 61.66