4.96 is what percent of 14.95 - 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 14.95 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 14.95, so we can write it down as 100%=14.95.
4. We know, that x% equals 4.96 of the output value, so we can write it down as x%=4.96.
5. Now we have two simple equations:
1) 100%=14.95
2) x%=4.96
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%=14.95/4.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.96 is what percent of 14.95

100%/x%=14.95/4.96
(100/x)*x=(14.95/4.96)*x       - we multiply both sides of the equation by x
100=3.0141129032258*x       - we divide both sides of the equation by (3.0141129032258) to get x
100/3.0141129032258=x
33.177257525084=x
x=33.177257525084

now we have:
4.96 is 33.177257525084% of 14.95