438.13 is what percent of 398.23 - 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 398.23 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 398.23, so we can write it down as 100%=398.23.
4. We know, that x% equals 438.13 of the output value, so we can write it down as x%=438.13.
5. Now we have two simple equations:
1) 100%=398.23
2) x%=438.13
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%=398.23/438.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438.13 is what percent of 398.23

100%/x%=398.23/438.13
(100/x)*x=(398.23/438.13)*x       - we multiply both sides of the equation by x
100=0.90893113915961*x       - we divide both sides of the equation by (0.90893113915961) to get x
100/0.90893113915961=x
110.01933555985=x
x=110.01933555985

now we have:
438.13 is 110.01933555985% of 398.23