35.74 is what percent of 421.5 - 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 421.5 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 421.5, so we can write it down as 100%=421.5.
4. We know, that x% equals 35.74 of the output value, so we can write it down as x%=35.74.
5. Now we have two simple equations:
1) 100%=421.5
2) x%=35.74
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%=421.5/35.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.74 is what percent of 421.5

100%/x%=421.5/35.74
(100/x)*x=(421.5/35.74)*x       - we multiply both sides of the equation by x
100=11.793508673755*x       - we divide both sides of the equation by (11.793508673755) to get x
100/11.793508673755=x
8.4792408066429=x
x=8.4792408066429

now we have:
35.74 is 8.4792408066429% of 421.5