3.47 is what percent of 24.98 - 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 24.98 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 24.98, so we can write it down as 100%=24.98.
4. We know, that x% equals 3.47 of the output value, so we can write it down as x%=3.47.
5. Now we have two simple equations:
1) 100%=24.98
2) x%=3.47
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%=24.98/3.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.47 is what percent of 24.98

100%/x%=24.98/3.47
(100/x)*x=(24.98/3.47)*x       - we multiply both sides of the equation by x
100=7.1988472622478*x       - we divide both sides of the equation by (7.1988472622478) to get x
100/7.1988472622478=x
13.891112890312=x
x=13.891112890312

now we have:
3.47 is 13.891112890312% of 24.98