105.42 is what percent of 8.1 - 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 8.1 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 8.1, so we can write it down as 100%=8.1.
4. We know, that x% equals 105.42 of the output value, so we can write it down as x%=105.42.
5. Now we have two simple equations:
1) 100%=8.1
2) x%=105.42
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%=8.1/105.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.42 is what percent of 8.1

100%/x%=8.1/105.42
(100/x)*x=(8.1/105.42)*x       - we multiply both sides of the equation by x
100=0.076835515082527*x       - we divide both sides of the equation by (0.076835515082527) to get x
100/0.076835515082527=x
1301.4814814815=x
x=1301.4814814815

now we have:
105.42 is 1301.4814814815% of 8.1