2.48 is what percent of 34.78 - 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 34.78 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 34.78, so we can write it down as 100%=34.78.
4. We know, that x% equals 2.48 of the output value, so we can write it down as x%=2.48.
5. Now we have two simple equations:
1) 100%=34.78
2) x%=2.48
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%=34.78/2.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.48 is what percent of 34.78

100%/x%=34.78/2.48
(100/x)*x=(34.78/2.48)*x       - we multiply both sides of the equation by x
100=14.024193548387*x       - we divide both sides of the equation by (14.024193548387) to get x
100/14.024193548387=x
7.1305347901093=x
x=7.1305347901093

now we have:
2.48 is 7.1305347901093% of 34.78