964.78 is what percent of 4862.72 - 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 4862.72 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 4862.72, so we can write it down as 100%=4862.72.
4. We know, that x% equals 964.78 of the output value, so we can write it down as x%=964.78.
5. Now we have two simple equations:
1) 100%=4862.72
2) x%=964.78
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%=4862.72/964.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 964.78 is what percent of 4862.72

100%/x%=4862.72/964.78
(100/x)*x=(4862.72/964.78)*x       - we multiply both sides of the equation by x
100=5.0402371525115*x       - we divide both sides of the equation by (5.0402371525115) to get x
100/5.0402371525115=x
19.840336272703=x
x=19.840336272703

now we have:
964.78 is 19.840336272703% of 4862.72