7.35 is what percent of 15.7 - 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 15.7 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 15.7, so we can write it down as 100%=15.7.
4. We know, that x% equals 7.35 of the output value, so we can write it down as x%=7.35.
5. Now we have two simple equations:
1) 100%=15.7
2) x%=7.35
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%=15.7/7.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.35 is what percent of 15.7

100%/x%=15.7/7.35
(100/x)*x=(15.7/7.35)*x       - we multiply both sides of the equation by x
100=2.1360544217687*x       - we divide both sides of the equation by (2.1360544217687) to get x
100/2.1360544217687=x
46.815286624204=x
x=46.815286624204

now we have:
7.35 is 46.815286624204% of 15.7