65.18 is what percent of 476 - 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 476 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 476, so we can write it down as 100%=476.
4. We know, that x% equals 65.18 of the output value, so we can write it down as x%=65.18.
5. Now we have two simple equations:
1) 100%=476
2) x%=65.18
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%=476/65.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.18 is what percent of 476

100%/x%=476/65.18
(100/x)*x=(476/65.18)*x       - we multiply both sides of the equation by x
100=7.3028536360847*x       - we divide both sides of the equation by (7.3028536360847) to get x
100/7.3028536360847=x
13.693277310924=x
x=13.693277310924

now we have:
65.18 is 13.693277310924% of 476