0.43 is what percent of 15.35 - 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 15.35 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 15.35, so we can write it down as 100%=15.35.
4. We know, that x% equals 0.43 of the output value, so we can write it down as x%=0.43.
5. Now we have two simple equations:
1) 100%=15.35
2) x%=0.43
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%=15.35/0.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.43 is what percent of 15.35

100%/x%=15.35/0.43
(100/x)*x=(15.35/0.43)*x       - we multiply both sides of the equation by x
100=35.697674418605*x       - we divide both sides of the equation by (35.697674418605) to get x
100/35.697674418605=x
2.8013029315961=x
x=2.8013029315961

now we have:
0.43 is 2.8013029315961% of 15.35