98.05 is what percent of 755 - 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 755 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 755, so we can write it down as 100%=755.
4. We know, that x% equals 98.05 of the output value, so we can write it down as x%=98.05.
5. Now we have two simple equations:
1) 100%=755
2) x%=98.05
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%=755/98.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.05 is what percent of 755

100%/x%=755/98.05
(100/x)*x=(755/98.05)*x       - we multiply both sides of the equation by x
100=7.7001529831719*x       - we divide both sides of the equation by (7.7001529831719) to get x
100/7.7001529831719=x
12.986754966887=x
x=12.986754966887

now we have:
98.05 is 12.986754966887% of 755