271.6 is what percent of 301.7 - 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 301.7 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 301.7, so we can write it down as 100%=301.7.
4. We know, that x% equals 271.6 of the output value, so we can write it down as x%=271.6.
5. Now we have two simple equations:
1) 100%=301.7
2) x%=271.6
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%=301.7/271.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.6 is what percent of 301.7

100%/x%=301.7/271.6
(100/x)*x=(301.7/271.6)*x       - we multiply both sides of the equation by x
100=1.110824742268*x       - we divide both sides of the equation by (1.110824742268) to get x
100/1.110824742268=x
90.023201856149=x
x=90.023201856149

now we have:
271.6 is 90.023201856149% of 301.7