911.5 is what percent of 971.5 - 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 971.5 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 971.5, so we can write it down as 100%=971.5.
4. We know, that x% equals 911.5 of the output value, so we can write it down as x%=911.5.
5. Now we have two simple equations:
1) 100%=971.5
2) x%=911.5
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%=971.5/911.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 911.5 is what percent of 971.5

100%/x%=971.5/911.5
(100/x)*x=(971.5/911.5)*x       - we multiply both sides of the equation by x
100=1.06582556226*x       - we divide both sides of the equation by (1.06582556226) to get x
100/1.06582556226=x
93.823983530623=x
x=93.823983530623

now we have:
911.5 is 93.823983530623% of 971.5