28.93 is what percent of 427.93 - 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 427.93 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 427.93, so we can write it down as 100%=427.93.
4. We know, that x% equals 28.93 of the output value, so we can write it down as x%=28.93.
5. Now we have two simple equations:
1) 100%=427.93
2) x%=28.93
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%=427.93/28.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.93 is what percent of 427.93

100%/x%=427.93/28.93
(100/x)*x=(427.93/28.93)*x       - we multiply both sides of the equation by x
100=14.791911510543*x       - we divide both sides of the equation by (14.791911510543) to get x
100/14.791911510543=x
6.7604514757086=x
x=6.7604514757086

now we have:
28.93 is 6.7604514757086% of 427.93