634.62 is what percent of 976.3 - 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 976.3 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 976.3, so we can write it down as 100%=976.3.
4. We know, that x% equals 634.62 of the output value, so we can write it down as x%=634.62.
5. Now we have two simple equations:
1) 100%=976.3
2) x%=634.62
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%=976.3/634.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 634.62 is what percent of 976.3

100%/x%=976.3/634.62
(100/x)*x=(976.3/634.62)*x       - we multiply both sides of the equation by x
100=1.5384009328417*x       - we divide both sides of the equation by (1.5384009328417) to get x
100/1.5384009328417=x
65.002560688313=x
x=65.002560688313

now we have:
634.62 is 65.002560688313% of 976.3