971.5 is what percent of 2121.5 - 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 2121.5 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 2121.5, so we can write it down as 100%=2121.5.
4. We know, that x% equals 971.5 of the output value, so we can write it down as x%=971.5.
5. Now we have two simple equations:
1) 100%=2121.5
2) x%=971.5
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%=2121.5/971.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 971.5 is what percent of 2121.5

100%/x%=2121.5/971.5
(100/x)*x=(2121.5/971.5)*x       - we multiply both sides of the equation by x
100=2.183736489964*x       - we divide both sides of the equation by (2.183736489964) to get x
100/2.183736489964=x
45.793070940372=x
x=45.793070940372

now we have:
971.5 is 45.793070940372% of 2121.5