93.65 is what percent of 630.98 - 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 630.98 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 630.98, so we can write it down as 100%=630.98.
4. We know, that x% equals 93.65 of the output value, so we can write it down as x%=93.65.
5. Now we have two simple equations:
1) 100%=630.98
2) x%=93.65
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%=630.98/93.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.65 is what percent of 630.98

100%/x%=630.98/93.65
(100/x)*x=(630.98/93.65)*x       - we multiply both sides of the equation by x
100=6.7376401494928*x       - we divide both sides of the equation by (6.7376401494928) to get x
100/6.7376401494928=x
14.841991822245=x
x=14.841991822245

now we have:
93.65 is 14.841991822245% of 630.98