469.31 is what percent of 54845.02 - 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 54845.02 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 54845.02, so we can write it down as 100%=54845.02.
4. We know, that x% equals 469.31 of the output value, so we can write it down as x%=469.31.
5. Now we have two simple equations:
1) 100%=54845.02
2) x%=469.31
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%=54845.02/469.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.31 is what percent of 54845.02

100%/x%=54845.02/469.31
(100/x)*x=(54845.02/469.31)*x       - we multiply both sides of the equation by x
100=116.863096887*x       - we divide both sides of the equation by (116.863096887) to get x
100/116.863096887=x
0.855702122089=x
x=0.855702122089

now we have:
469.31 is 0.855702122089% of 54845.02