8.1 is what percent of 34.73 - 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 34.73 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 34.73, so we can write it down as 100%=34.73.
4. We know, that x% equals 8.1 of the output value, so we can write it down as x%=8.1.
5. Now we have two simple equations:
1) 100%=34.73
2) x%=8.1
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%=34.73/8.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.1 is what percent of 34.73

100%/x%=34.73/8.1
(100/x)*x=(34.73/8.1)*x       - we multiply both sides of the equation by x
100=4.2876543209877*x       - we divide both sides of the equation by (4.2876543209877) to get x
100/4.2876543209877=x
23.322775698244=x
x=23.322775698244

now we have:
8.1 is 23.322775698244% of 34.73