76.2 is what percent of 1542.43 - 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 1542.43 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 1542.43, so we can write it down as 100%=1542.43.
4. We know, that x% equals 76.2 of the output value, so we can write it down as x%=76.2.
5. Now we have two simple equations:
1) 100%=1542.43
2) x%=76.2
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%=1542.43/76.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.2 is what percent of 1542.43

100%/x%=1542.43/76.2
(100/x)*x=(1542.43/76.2)*x       - we multiply both sides of the equation by x
100=20.24186351706*x       - we divide both sides of the equation by (20.24186351706) to get x
100/20.24186351706=x
4.9402566080795=x
x=4.9402566080795

now we have:
76.2 is 4.9402566080795% of 1542.43