473.31 is what percent of 1998.46 - 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 1998.46 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 1998.46, so we can write it down as 100%=1998.46.
4. We know, that x% equals 473.31 of the output value, so we can write it down as x%=473.31.
5. Now we have two simple equations:
1) 100%=1998.46
2) x%=473.31
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%=1998.46/473.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 473.31 is what percent of 1998.46

100%/x%=1998.46/473.31
(100/x)*x=(1998.46/473.31)*x       - we multiply both sides of the equation by x
100=4.2223067334305*x       - we divide both sides of the equation by (4.2223067334305) to get x
100/4.2223067334305=x
23.683736477087=x
x=23.683736477087

now we have:
473.31 is 23.683736477087% of 1998.46