1345.9 is what percent of 2008.8 - 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 2008.8 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 2008.8, so we can write it down as 100%=2008.8.
4. We know, that x% equals 1345.9 of the output value, so we can write it down as x%=1345.9.
5. Now we have two simple equations:
1) 100%=2008.8
2) x%=1345.9
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%=2008.8/1345.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1345.9 is what percent of 2008.8

100%/x%=2008.8/1345.9
(100/x)*x=(2008.8/1345.9)*x       - we multiply both sides of the equation by x
100=1.4925328776284*x       - we divide both sides of the equation by (1.4925328776284) to get x
100/1.4925328776284=x
67.000199123855=x
x=67.000199123855

now we have:
1345.9 is 67.000199123855% of 2008.8