98430.99 is what percent of 93743.8 - 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 93743.8 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 93743.8, so we can write it down as 100%=93743.8.
4. We know, that x% equals 98430.99 of the output value, so we can write it down as x%=98430.99.
5. Now we have two simple equations:
1) 100%=93743.8
2) x%=98430.99
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%=93743.8/98430.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98430.99 is what percent of 93743.8

100%/x%=93743.8/98430.99
(100/x)*x=(93743.8/98430.99)*x       - we multiply both sides of the equation by x
100=0.95238095238095*x       - we divide both sides of the equation by (0.95238095238095) to get x
100/0.95238095238095=x
105=x
x=105

now we have:
98430.99 is 105% of 93743.8