34.58 is what percent of 2384.4 - 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 2384.4 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 2384.4, so we can write it down as 100%=2384.4.
4. We know, that x% equals 34.58 of the output value, so we can write it down as x%=34.58.
5. Now we have two simple equations:
1) 100%=2384.4
2) x%=34.58
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%=2384.4/34.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.58 is what percent of 2384.4

100%/x%=2384.4/34.58
(100/x)*x=(2384.4/34.58)*x       - we multiply both sides of the equation by x
100=68.953152111047*x       - we divide both sides of the equation by (68.953152111047) to get x
100/68.953152111047=x
1.450260023486=x
x=1.450260023486

now we have:
34.58 is 1.450260023486% of 2384.4