34.46 is what percent of 1468 - 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 1468 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 1468, so we can write it down as 100%=1468.
4. We know, that x% equals 34.46 of the output value, so we can write it down as x%=34.46.
5. Now we have two simple equations:
1) 100%=1468
2) x%=34.46
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%=1468/34.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.46 is what percent of 1468

100%/x%=1468/34.46
(100/x)*x=(1468/34.46)*x       - we multiply both sides of the equation by x
100=42.600116076611*x       - we divide both sides of the equation by (42.600116076611) to get x
100/42.600116076611=x
2.3474114441417=x
x=2.3474114441417

now we have:
34.46 is 2.3474114441417% of 1468