62.5 is what percent of 1307.78 - 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 1307.78 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 1307.78, so we can write it down as 100%=1307.78.
4. We know, that x% equals 62.5 of the output value, so we can write it down as x%=62.5.
5. Now we have two simple equations:
1) 100%=1307.78
2) x%=62.5
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%=1307.78/62.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.5 is what percent of 1307.78

100%/x%=1307.78/62.5
(100/x)*x=(1307.78/62.5)*x       - we multiply both sides of the equation by x
100=20.92448*x       - we divide both sides of the equation by (20.92448) to get x
100/20.92448=x
4.7790912844668=x
x=4.7790912844668

now we have:
62.5 is 4.7790912844668% of 1307.78