89.74 is what percent of 688.19 - 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 688.19 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 688.19, so we can write it down as 100%=688.19.
4. We know, that x% equals 89.74 of the output value, so we can write it down as x%=89.74.
5. Now we have two simple equations:
1) 100%=688.19
2) x%=89.74
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%=688.19/89.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.74 is what percent of 688.19

100%/x%=688.19/89.74
(100/x)*x=(688.19/89.74)*x       - we multiply both sides of the equation by x
100=7.6687096055271*x       - we divide both sides of the equation by (7.6687096055271) to get x
100/7.6687096055271=x
13.040003487409=x
x=13.040003487409

now we have:
89.74 is 13.040003487409% of 688.19