488.4 is what percent of 927.3 - 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 927.3 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 927.3, so we can write it down as 100%=927.3.
4. We know, that x% equals 488.4 of the output value, so we can write it down as x%=488.4.
5. Now we have two simple equations:
1) 100%=927.3
2) x%=488.4
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%=927.3/488.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 488.4 is what percent of 927.3

100%/x%=927.3/488.4
(100/x)*x=(927.3/488.4)*x       - we multiply both sides of the equation by x
100=1.8986486486486*x       - we divide both sides of the equation by (1.8986486486486) to get x
100/1.8986486486486=x
52.669039145907=x
x=52.669039145907

now we have:
488.4 is 52.669039145907% of 927.3