98.94 is what percent of 1769.76 - 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 1769.76 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 1769.76, so we can write it down as 100%=1769.76.
4. We know, that x% equals 98.94 of the output value, so we can write it down as x%=98.94.
5. Now we have two simple equations:
1) 100%=1769.76
2) x%=98.94
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%=1769.76/98.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.94 is what percent of 1769.76

100%/x%=1769.76/98.94
(100/x)*x=(1769.76/98.94)*x       - we multiply both sides of the equation by x
100=17.887204366283*x       - we divide both sides of the equation by (17.887204366283) to get x
100/17.887204366283=x
5.5905885543803=x
x=5.5905885543803

now we have:
98.94 is 5.5905885543803% of 1769.76