51.46 is what percent of 598.47 - 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 598.47 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 598.47, so we can write it down as 100%=598.47.
4. We know, that x% equals 51.46 of the output value, so we can write it down as x%=51.46.
5. Now we have two simple equations:
1) 100%=598.47
2) x%=51.46
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%=598.47/51.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.46 is what percent of 598.47

100%/x%=598.47/51.46
(100/x)*x=(598.47/51.46)*x       - we multiply both sides of the equation by x
100=11.629809560824*x       - we divide both sides of the equation by (11.629809560824) to get x
100/11.629809560824=x
8.5985930790182=x
x=8.5985930790182

now we have:
51.46 is 8.5985930790182% of 598.47