5.97 is what percent of 478.56 - 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 478.56 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 478.56, so we can write it down as 100%=478.56.
4. We know, that x% equals 5.97 of the output value, so we can write it down as x%=5.97.
5. Now we have two simple equations:
1) 100%=478.56
2) x%=5.97
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%=478.56/5.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.97 is what percent of 478.56

100%/x%=478.56/5.97
(100/x)*x=(478.56/5.97)*x       - we multiply both sides of the equation by x
100=80.1608040201*x       - we divide both sides of the equation by (80.1608040201) to get x
100/80.1608040201=x
1.2474924774323=x
x=1.2474924774323

now we have:
5.97 is 1.2474924774323% of 478.56