204.96 is what percent of 1340.81 - 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 1340.81 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 1340.81, so we can write it down as 100%=1340.81.
4. We know, that x% equals 204.96 of the output value, so we can write it down as x%=204.96.
5. Now we have two simple equations:
1) 100%=1340.81
2) x%=204.96
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%=1340.81/204.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.96 is what percent of 1340.81

100%/x%=1340.81/204.96
(100/x)*x=(1340.81/204.96)*x       - we multiply both sides of the equation by x
100=6.5418130366901*x       - we divide both sides of the equation by (6.5418130366901) to get x
100/6.5418130366901=x
15.286282172716=x
x=15.286282172716

now we have:
204.96 is 15.286282172716% of 1340.81