42.58 is what percent of 2330 - 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 2330 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 2330, so we can write it down as 100%=2330.
4. We know, that x% equals 42.58 of the output value, so we can write it down as x%=42.58.
5. Now we have two simple equations:
1) 100%=2330
2) x%=42.58
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%=2330/42.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.58 is what percent of 2330

100%/x%=2330/42.58
(100/x)*x=(2330/42.58)*x       - we multiply both sides of the equation by x
100=54.720526068577*x       - we divide both sides of the equation by (54.720526068577) to get x
100/54.720526068577=x
1.8274678111588=x
x=1.8274678111588

now we have:
42.58 is 1.8274678111588% of 2330