19.98 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 19.98 of the output value, so we can write it down as x%=19.98.
5. Now we have two simple equations:
1) 100%=476
2) x%=19.98
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%=476/19.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.98 is what percent of 476

100%/x%=476/19.98
(100/x)*x=(476/19.98)*x       - we multiply both sides of the equation by x
100=23.823823823824*x       - we divide both sides of the equation by (23.823823823824) to get x
100/23.823823823824=x
4.1974789915966=x
x=4.1974789915966

now we have:
19.98 is 4.1974789915966% of 476