61.8 is what percent of 74.73 - 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 74.73 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 74.73, so we can write it down as 100%=74.73.
4. We know, that x% equals 61.8 of the output value, so we can write it down as x%=61.8.
5. Now we have two simple equations:
1) 100%=74.73
2) x%=61.8
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%=74.73/61.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.8 is what percent of 74.73

100%/x%=74.73/61.8
(100/x)*x=(74.73/61.8)*x       - we multiply both sides of the equation by x
100=1.2092233009709*x       - we divide both sides of the equation by (1.2092233009709) to get x
100/1.2092233009709=x
82.697711762344=x
x=82.697711762344

now we have:
61.8 is 82.697711762344% of 74.73