98.9 is what percent of 1574.6 - 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 1574.6 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 1574.6, so we can write it down as 100%=1574.6.
4. We know, that x% equals 98.9 of the output value, so we can write it down as x%=98.9.
5. Now we have two simple equations:
1) 100%=1574.6
2) x%=98.9
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%=1574.6/98.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.9 is what percent of 1574.6

100%/x%=1574.6/98.9
(100/x)*x=(1574.6/98.9)*x       - we multiply both sides of the equation by x
100=15.921132457027*x       - we divide both sides of the equation by (15.921132457027) to get x
100/15.921132457027=x
6.2809602438715=x
x=6.2809602438715

now we have:
98.9 is 6.2809602438715% of 1574.6