8.1 is what percent of 57.458 - 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 57.458 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 57.458, so we can write it down as 100%=57.458.
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%=57.458
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%=57.458/8.1
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 57.458

100%/x%=57.458/8.1
(100/x)*x=(57.458/8.1)*x       - we multiply both sides of the equation by x
100=7.0935802469136*x       - we divide both sides of the equation by (7.0935802469136) to get x
100/7.0935802469136=x
14.097253646142=x
x=14.097253646142

now we have:
8.1 is 14.097253646142% of 57.458