971.48 is what percent of 5176 - 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 5176 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 5176, so we can write it down as 100%=5176.
4. We know, that x% equals 971.48 of the output value, so we can write it down as x%=971.48.
5. Now we have two simple equations:
1) 100%=5176
2) x%=971.48
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%=5176/971.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 971.48 is what percent of 5176

100%/x%=5176/971.48
(100/x)*x=(5176/971.48)*x       - we multiply both sides of the equation by x
100=5.3279532260057*x       - we divide both sides of the equation by (5.3279532260057) to get x
100/5.3279532260057=x
18.768933539413=x
x=18.768933539413

now we have:
971.48 is 18.768933539413% of 5176