271.4 is what percent of 287.68 - 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 287.68 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 287.68, so we can write it down as 100%=287.68.
4. We know, that x% equals 271.4 of the output value, so we can write it down as x%=271.4.
5. Now we have two simple equations:
1) 100%=287.68
2) x%=271.4
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%=287.68/271.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.4 is what percent of 287.68

100%/x%=287.68/271.4
(100/x)*x=(287.68/271.4)*x       - we multiply both sides of the equation by x
100=1.0599852616065*x       - we divide both sides of the equation by (1.0599852616065) to get x
100/1.0599852616065=x
94.340934371524=x
x=94.340934371524

now we have:
271.4 is 94.340934371524% of 287.68