98.62 is what percent of 739.36 - 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 739.36 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 739.36, so we can write it down as 100%=739.36.
4. We know, that x% equals 98.62 of the output value, so we can write it down as x%=98.62.
5. Now we have two simple equations:
1) 100%=739.36
2) x%=98.62
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%=739.36/98.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.62 is what percent of 739.36

100%/x%=739.36/98.62
(100/x)*x=(739.36/98.62)*x       - we multiply both sides of the equation by x
100=7.4970594199959*x       - we divide both sides of the equation by (7.4970594199959) to get x
100/7.4970594199959=x
13.338563081584=x
x=13.338563081584

now we have:
98.62 is 13.338563081584% of 739.36