50.5 is what percent of 966.97 - 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 966.97 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 966.97, so we can write it down as 100%=966.97.
4. We know, that x% equals 50.5 of the output value, so we can write it down as x%=50.5.
5. Now we have two simple equations:
1) 100%=966.97
2) x%=50.5
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%=966.97/50.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.5 is what percent of 966.97

100%/x%=966.97/50.5
(100/x)*x=(966.97/50.5)*x       - we multiply both sides of the equation by x
100=19.147920792079*x       - we divide both sides of the equation by (19.147920792079) to get x
100/19.147920792079=x
5.2224991468194=x
x=5.2224991468194

now we have:
50.5 is 5.2224991468194% of 966.97