89 is what percent of 674 - 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 674 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 674, so we can write it down as 100%=674.
4. We know, that x% equals 89 of the output value, so we can write it down as x%=89.
5. Now we have two simple equations:
1) 100%=674
2) x%=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%=674/89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89 is what percent of 674

100%/x%=674/89
(100/x)*x=(674/89)*x       - we multiply both sides of the equation by x
100=7.5730337078652*x       - we divide both sides of the equation by (7.5730337078652) to get x
100/7.5730337078652=x
13.204747774481=x
x=13.204747774481

now we have:
89 is 13.204747774481% of 674