204.23 is what percent of 2460.61 - 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 2460.61 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 2460.61, so we can write it down as 100%=2460.61.
4. We know, that x% equals 204.23 of the output value, so we can write it down as x%=204.23.
5. Now we have two simple equations:
1) 100%=2460.61
2) x%=204.23
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%=2460.61/204.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.23 is what percent of 2460.61

100%/x%=2460.61/204.23
(100/x)*x=(2460.61/204.23)*x       - we multiply both sides of the equation by x
100=12.048229936836*x       - we divide both sides of the equation by (12.048229936836) to get x
100/12.048229936836=x
8.2999743965927=x
x=8.2999743965927

now we have:
204.23 is 8.2999743965927% of 2460.61