478.5 is what percent of 1521.98 - 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 1521.98 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 1521.98, so we can write it down as 100%=1521.98.
4. We know, that x% equals 478.5 of the output value, so we can write it down as x%=478.5.
5. Now we have two simple equations:
1) 100%=1521.98
2) x%=478.5
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%=1521.98/478.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.5 is what percent of 1521.98

100%/x%=1521.98/478.5
(100/x)*x=(1521.98/478.5)*x       - we multiply both sides of the equation by x
100=3.1807314524556*x       - we divide both sides of the equation by (3.1807314524556) to get x
100/3.1807314524556=x
31.439309320753=x
x=31.439309320753

now we have:
478.5 is 31.439309320753% of 1521.98