218.51 is what percent of 472.21 - 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 472.21 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 472.21, so we can write it down as 100%=472.21.
4. We know, that x% equals 218.51 of the output value, so we can write it down as x%=218.51.
5. Now we have two simple equations:
1) 100%=472.21
2) x%=218.51
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%=472.21/218.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.51 is what percent of 472.21

100%/x%=472.21/218.51
(100/x)*x=(472.21/218.51)*x       - we multiply both sides of the equation by x
100=2.1610452610864*x       - we divide both sides of the equation by (2.1610452610864) to get x
100/2.1610452610864=x
46.273903559857=x
x=46.273903559857

now we have:
218.51 is 46.273903559857% of 472.21