62.48 is what percent of 976.25 - 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 976.25 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 976.25, so we can write it down as 100%=976.25.
4. We know, that x% equals 62.48 of the output value, so we can write it down as x%=62.48.
5. Now we have two simple equations:
1) 100%=976.25
2) x%=62.48
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%=976.25/62.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.48 is what percent of 976.25

100%/x%=976.25/62.48
(100/x)*x=(976.25/62.48)*x       - we multiply both sides of the equation by x
100=15.625*x       - we divide both sides of the equation by (15.625) to get x
100/15.625=x
6.4=x
x=6.4

now we have:
62.48 is 6.4% of 976.25