126.3 is what percent of 1492 - 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 1492 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 1492, so we can write it down as 100%=1492.
4. We know, that x% equals 126.3 of the output value, so we can write it down as x%=126.3.
5. Now we have two simple equations:
1) 100%=1492
2) x%=126.3
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%=1492/126.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.3 is what percent of 1492

100%/x%=1492/126.3
(100/x)*x=(1492/126.3)*x       - we multiply both sides of the equation by x
100=11.81314330958*x       - we divide both sides of the equation by (11.81314330958) to get x
100/11.81314330958=x
8.4651474530831=x
x=8.4651474530831

now we have:
126.3 is 8.4651474530831% of 1492