98.79 is what percent of 663.34 - 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 663.34 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 663.34, so we can write it down as 100%=663.34.
4. We know, that x% equals 98.79 of the output value, so we can write it down as x%=98.79.
5. Now we have two simple equations:
1) 100%=663.34
2) x%=98.79
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%=663.34/98.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.79 is what percent of 663.34

100%/x%=663.34/98.79
(100/x)*x=(663.34/98.79)*x       - we multiply both sides of the equation by x
100=6.7146472315012*x       - we divide both sides of the equation by (6.7146472315012) to get x
100/6.7146472315012=x
14.892815147586=x
x=14.892815147586

now we have:
98.79 is 14.892815147586% of 663.34