102.05 is what percent of 1.215 - 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 1.215 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 1.215, so we can write it down as 100%=1.215.
4. We know, that x% equals 102.05 of the output value, so we can write it down as x%=102.05.
5. Now we have two simple equations:
1) 100%=1.215
2) x%=102.05
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%=1.215/102.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.05 is what percent of 1.215

100%/x%=1.215/102.05
(100/x)*x=(1.215/102.05)*x       - we multiply both sides of the equation by x
100=0.011905928466438*x       - we divide both sides of the equation by (0.011905928466438) to get x
100/0.011905928466438=x
8399.1769547325=x
x=8399.1769547325

now we have:
102.05 is 8399.1769547325% of 1.215