509.67 is what percent of 4800 - 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 4800 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 4800, so we can write it down as 100%=4800.
4. We know, that x% equals 509.67 of the output value, so we can write it down as x%=509.67.
5. Now we have two simple equations:
1) 100%=4800
2) x%=509.67
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%=4800/509.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 509.67 is what percent of 4800

100%/x%=4800/509.67
(100/x)*x=(4800/509.67)*x       - we multiply both sides of the equation by x
100=9.4178586143976*x       - we divide both sides of the equation by (9.4178586143976) to get x
100/9.4178586143976=x
10.618125=x
x=10.618125

now we have:
509.67 is 10.618125% of 4800