966.32 is what percent of 1671 - 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 1671 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 1671, so we can write it down as 100%=1671.
4. We know, that x% equals 966.32 of the output value, so we can write it down as x%=966.32.
5. Now we have two simple equations:
1) 100%=1671
2) x%=966.32
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%=1671/966.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 966.32 is what percent of 1671

100%/x%=1671/966.32
(100/x)*x=(1671/966.32)*x       - we multiply both sides of the equation by x
100=1.7292408311946*x       - we divide both sides of the equation by (1.7292408311946) to get x
100/1.7292408311946=x
57.828845002992=x
x=57.828845002992

now we have:
966.32 is 57.828845002992% of 1671