600.23 is what percent of 7461.72 - 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 7461.72 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 7461.72, so we can write it down as 100%=7461.72.
4. We know, that x% equals 600.23 of the output value, so we can write it down as x%=600.23.
5. Now we have two simple equations:
1) 100%=7461.72
2) x%=600.23
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%=7461.72/600.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 600.23 is what percent of 7461.72

100%/x%=7461.72/600.23
(100/x)*x=(7461.72/600.23)*x       - we multiply both sides of the equation by x
100=12.43143461673*x       - we divide both sides of the equation by (12.43143461673) to get x
100/12.43143461673=x
8.0441238749243=x
x=8.0441238749243

now we have:
600.23 is 8.0441238749243% of 7461.72