646.5 is what percent of 887.5 - 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 887.5 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 887.5, so we can write it down as 100%=887.5.
4. We know, that x% equals 646.5 of the output value, so we can write it down as x%=646.5.
5. Now we have two simple equations:
1) 100%=887.5
2) x%=646.5
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%=887.5/646.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 646.5 is what percent of 887.5

100%/x%=887.5/646.5
(100/x)*x=(887.5/646.5)*x       - we multiply both sides of the equation by x
100=1.3727764887858*x       - we divide both sides of the equation by (1.3727764887858) to get x
100/1.3727764887858=x
72.845070422535=x
x=72.845070422535

now we have:
646.5 is 72.845070422535% of 887.5