51.18 is what percent of 1.08 - 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 1.08 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 1.08, so we can write it down as 100%=1.08.
4. We know, that x% equals 51.18 of the output value, so we can write it down as x%=51.18.
5. Now we have two simple equations:
1) 100%=1.08
2) x%=51.18
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%=1.08/51.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.18 is what percent of 1.08

100%/x%=1.08/51.18
(100/x)*x=(1.08/51.18)*x       - we multiply both sides of the equation by x
100=0.021101992966002*x       - we divide both sides of the equation by (0.021101992966002) to get x
100/0.021101992966002=x
4738.8888888889=x
x=4738.8888888889

now we have:
51.18 is 4738.8888888889% of 1.08