7.54 is what percent of 50.35 - 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 50.35 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 50.35, so we can write it down as 100%=50.35.
4. We know, that x% equals 7.54 of the output value, so we can write it down as x%=7.54.
5. Now we have two simple equations:
1) 100%=50.35
2) x%=7.54
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%=50.35/7.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.54 is what percent of 50.35

100%/x%=50.35/7.54
(100/x)*x=(50.35/7.54)*x       - we multiply both sides of the equation by x
100=6.6777188328912*x       - we divide both sides of the equation by (6.6777188328912) to get x
100/6.6777188328912=x
14.975173783515=x
x=14.975173783515

now we have:
7.54 is 14.975173783515% of 50.35