475.624 is what percent of 1 - 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 1 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 1, so we can write it down as 100%=1.
4. We know, that x% equals 475.624 of the output value, so we can write it down as x%=475.624.
5. Now we have two simple equations:
1) 100%=1
2) x%=475.624
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%=1/475.624
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 475.624 is what percent of 1

100%/x%=1/475.624
(100/x)*x=(1/475.624)*x       - we multiply both sides of the equation by x
100=0.0021025011353506*x       - we divide both sides of the equation by (0.0021025011353506) to get x
100/0.0021025011353506=x
47562.4=x
x=47562.4

now we have:
475.624 is 47562.4% of 1