475.7 is what percent of 1.13 - 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 1.13 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 1.13, so we can write it down as 100%=1.13.
4. We know, that x% equals 475.7 of the output value, so we can write it down as x%=475.7.
5. Now we have two simple equations:
1) 100%=1.13
2) x%=475.7
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%=1.13/475.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 475.7 is what percent of 1.13

100%/x%=1.13/475.7
(100/x)*x=(1.13/475.7)*x       - we multiply both sides of the equation by x
100=0.0023754467101114*x       - we divide both sides of the equation by (0.0023754467101114) to get x
100/0.0023754467101114=x
42097.345132743=x
x=42097.345132743

now we have:
475.7 is 42097.345132743% of 1.13