98.89 is what percent of 627.01 - 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 627.01 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 627.01, so we can write it down as 100%=627.01.
4. We know, that x% equals 98.89 of the output value, so we can write it down as x%=98.89.
5. Now we have two simple equations:
1) 100%=627.01
2) x%=98.89
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%=627.01/98.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.89 is what percent of 627.01

100%/x%=627.01/98.89
(100/x)*x=(627.01/98.89)*x       - we multiply both sides of the equation by x
100=6.3404793204571*x       - we divide both sides of the equation by (6.3404793204571) to get x
100/6.3404793204571=x
15.771678282643=x
x=15.771678282643

now we have:
98.89 is 15.771678282643% of 627.01