42.97 is what percent of 1258.42 - 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 1258.42 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 1258.42, so we can write it down as 100%=1258.42.
4. We know, that x% equals 42.97 of the output value, so we can write it down as x%=42.97.
5. Now we have two simple equations:
1) 100%=1258.42
2) x%=42.97
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%=1258.42/42.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.97 is what percent of 1258.42

100%/x%=1258.42/42.97
(100/x)*x=(1258.42/42.97)*x       - we multiply both sides of the equation by x
100=29.286013497789*x       - we divide both sides of the equation by (29.286013497789) to get x
100/29.286013497789=x
3.4145992593888=x
x=3.4145992593888

now we have:
42.97 is 3.4145992593888% of 1258.42