512.4 is what percent of 5888.58 - 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 5888.58 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 5888.58, so we can write it down as 100%=5888.58.
4. We know, that x% equals 512.4 of the output value, so we can write it down as x%=512.4.
5. Now we have two simple equations:
1) 100%=5888.58
2) x%=512.4
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%=5888.58/512.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 512.4 is what percent of 5888.58

100%/x%=5888.58/512.4
(100/x)*x=(5888.58/512.4)*x       - we multiply both sides of the equation by x
100=11.492154566745*x       - we divide both sides of the equation by (11.492154566745) to get x
100/11.492154566745=x
8.7015884984156=x
x=8.7015884984156

now we have:
512.4 is 8.7015884984156% of 5888.58