35.4 is what percent of 462.73 - 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 462.73 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 462.73, so we can write it down as 100%=462.73.
4. We know, that x% equals 35.4 of the output value, so we can write it down as x%=35.4.
5. Now we have two simple equations:
1) 100%=462.73
2) x%=35.4
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%=462.73/35.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.4 is what percent of 462.73

100%/x%=462.73/35.4
(100/x)*x=(462.73/35.4)*x       - we multiply both sides of the equation by x
100=13.071468926554*x       - we divide both sides of the equation by (13.071468926554) to get x
100/13.071468926554=x
7.6502496056015=x
x=7.6502496056015

now we have:
35.4 is 7.6502496056015% of 462.73