89 is what percent of 5312 - 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 5312 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 5312, so we can write it down as 100%=5312.
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%=5312
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%=5312/89
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 5312

100%/x%=5312/89
(100/x)*x=(5312/89)*x       - we multiply both sides of the equation by x
100=59.685393258427*x       - we divide both sides of the equation by (59.685393258427) to get x
100/59.685393258427=x
1.6754518072289=x
x=1.6754518072289

now we have:
89 is 1.6754518072289% of 5312