262.4 is what percent of 278.14 - 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 278.14 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 278.14, so we can write it down as 100%=278.14.
4. We know, that x% equals 262.4 of the output value, so we can write it down as x%=262.4.
5. Now we have two simple equations:
1) 100%=278.14
2) x%=262.4
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%=278.14/262.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.4 is what percent of 278.14

100%/x%=278.14/262.4
(100/x)*x=(278.14/262.4)*x       - we multiply both sides of the equation by x
100=1.0599847560976*x       - we divide both sides of the equation by (1.0599847560976) to get x
100/1.0599847560976=x
94.340979362911=x
x=94.340979362911

now we have:
262.4 is 94.340979362911% of 278.14