54 is what percent of 1.012 - 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 1.012 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 1.012, so we can write it down as 100%=1.012.
4. We know, that x% equals 54 of the output value, so we can write it down as x%=54.
5. Now we have two simple equations:
1) 100%=1.012
2) x%=54
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%=1.012/54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54 is what percent of 1.012

100%/x%=1.012/54
(100/x)*x=(1.012/54)*x       - we multiply both sides of the equation by x
100=0.018740740740741*x       - we divide both sides of the equation by (0.018740740740741) to get x
100/0.018740740740741=x
5335.9683794466=x
x=5335.9683794466

now we have:
54 is 5335.9683794466% of 1.012