44.21 is what percent of 214.4 - 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 214.4 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 214.4, so we can write it down as 100%=214.4.
4. We know, that x% equals 44.21 of the output value, so we can write it down as x%=44.21.
5. Now we have two simple equations:
1) 100%=214.4
2) x%=44.21
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%=214.4/44.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.21 is what percent of 214.4

100%/x%=214.4/44.21
(100/x)*x=(214.4/44.21)*x       - we multiply both sides of the equation by x
100=4.8495815426374*x       - we divide both sides of the equation by (4.8495815426374) to get x
100/4.8495815426374=x
20.620335820896=x
x=20.620335820896

now we have:
44.21 is 20.620335820896% of 214.4