5098.5 is what percent of 52697.67 - 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 52697.67 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 52697.67, so we can write it down as 100%=52697.67.
4. We know, that x% equals 5098.5 of the output value, so we can write it down as x%=5098.5.
5. Now we have two simple equations:
1) 100%=52697.67
2) x%=5098.5
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%=52697.67/5098.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5098.5 is what percent of 52697.67

100%/x%=52697.67/5098.5
(100/x)*x=(52697.67/5098.5)*x       - we multiply both sides of the equation by x
100=10.335916446014*x       - we divide both sides of the equation by (10.335916446014) to get x
100/10.335916446014=x
9.6750008112313=x
x=9.6750008112313

now we have:
5098.5 is 9.6750008112313% of 52697.67