46.35 is what percent of 475.36 - 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 475.36 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 475.36, so we can write it down as 100%=475.36.
4. We know, that x% equals 46.35 of the output value, so we can write it down as x%=46.35.
5. Now we have two simple equations:
1) 100%=475.36
2) x%=46.35
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%=475.36/46.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.35 is what percent of 475.36

100%/x%=475.36/46.35
(100/x)*x=(475.36/46.35)*x       - we multiply both sides of the equation by x
100=10.255879180151*x       - we divide both sides of the equation by (10.255879180151) to get x
100/10.255879180151=x
9.7505048805116=x
x=9.7505048805116

now we have:
46.35 is 9.7505048805116% of 475.36