45.7 is what percent of 9.493 - 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 9.493 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 9.493, so we can write it down as 100%=9.493.
4. We know, that x% equals 45.7 of the output value, so we can write it down as x%=45.7.
5. Now we have two simple equations:
1) 100%=9.493
2) x%=45.7
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%=9.493/45.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.7 is what percent of 9.493

100%/x%=9.493/45.7
(100/x)*x=(9.493/45.7)*x       - we multiply both sides of the equation by x
100=0.20772428884026*x       - we divide both sides of the equation by (0.20772428884026) to get x
100/0.20772428884026=x
481.40735278626=x
x=481.40735278626

now we have:
45.7 is 481.40735278626% of 9.493