89.85 is what percent of 700 - 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 700 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 700, so we can write it down as 100%=700.
4. We know, that x% equals 89.85 of the output value, so we can write it down as x%=89.85.
5. Now we have two simple equations:
1) 100%=700
2) x%=89.85
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%=700/89.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.85 is what percent of 700

100%/x%=700/89.85
(100/x)*x=(700/89.85)*x       - we multiply both sides of the equation by x
100=7.7907623817474*x       - we divide both sides of the equation by (7.7907623817474) to get x
100/7.7907623817474=x
12.835714285714=x
x=12.835714285714

now we have:
89.85 is 12.835714285714% of 700