478.72 is what percent of 5055.21 - 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 5055.21 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 5055.21, so we can write it down as 100%=5055.21.
4. We know, that x% equals 478.72 of the output value, so we can write it down as x%=478.72.
5. Now we have two simple equations:
1) 100%=5055.21
2) x%=478.72
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%=5055.21/478.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.72 is what percent of 5055.21

100%/x%=5055.21/478.72
(100/x)*x=(5055.21/478.72)*x       - we multiply both sides of the equation by x
100=10.559847092246*x       - we divide both sides of the equation by (10.559847092246) to get x
100/10.559847092246=x
9.4698340919566=x
x=9.4698340919566

now we have:
478.72 is 9.4698340919566% of 5055.21