34.17 is what percent of 1518.48 - 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 1518.48 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 1518.48, so we can write it down as 100%=1518.48.
4. We know, that x% equals 34.17 of the output value, so we can write it down as x%=34.17.
5. Now we have two simple equations:
1) 100%=1518.48
2) x%=34.17
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%=1518.48/34.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.17 is what percent of 1518.48

100%/x%=1518.48/34.17
(100/x)*x=(1518.48/34.17)*x       - we multiply both sides of the equation by x
100=44.438981562774*x       - we divide both sides of the equation by (44.438981562774) to get x
100/44.438981562774=x
2.2502765923819=x
x=2.2502765923819

now we have:
34.17 is 2.2502765923819% of 1518.48