28.42 is what percent of 8.045 - 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 8.045 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 8.045, so we can write it down as 100%=8.045.
4. We know, that x% equals 28.42 of the output value, so we can write it down as x%=28.42.
5. Now we have two simple equations:
1) 100%=8.045
2) x%=28.42
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%=8.045/28.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.42 is what percent of 8.045

100%/x%=8.045/28.42
(100/x)*x=(8.045/28.42)*x       - we multiply both sides of the equation by x
100=0.28307529908515*x       - we divide both sides of the equation by (0.28307529908515) to get x
100/0.28307529908515=x
353.26289620883=x
x=353.26289620883

now we have:
28.42 is 353.26289620883% of 8.045