27.48 is what percent of 438.907 - 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 438.907 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 438.907, so we can write it down as 100%=438.907.
4. We know, that x% equals 27.48 of the output value, so we can write it down as x%=27.48.
5. Now we have two simple equations:
1) 100%=438.907
2) x%=27.48
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%=438.907/27.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.48 is what percent of 438.907

100%/x%=438.907/27.48
(100/x)*x=(438.907/27.48)*x       - we multiply both sides of the equation by x
100=15.971870451237*x       - we divide both sides of the equation by (15.971870451237) to get x
100/15.971870451237=x
6.2610074571606=x
x=6.2610074571606

now we have:
27.48 is 6.2610074571606% of 438.907