4371.96 is what percent of 102 - 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 102 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 102, so we can write it down as 100%=102.
4. We know, that x% equals 4371.96 of the output value, so we can write it down as x%=4371.96.
5. Now we have two simple equations:
1) 100%=102
2) x%=4371.96
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%=102/4371.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4371.96 is what percent of 102

100%/x%=102/4371.96
(100/x)*x=(102/4371.96)*x       - we multiply both sides of the equation by x
100=0.023330497076826*x       - we divide both sides of the equation by (0.023330497076826) to get x
100/0.023330497076826=x
4286.2352941176=x
x=4286.2352941176

now we have:
4371.96 is 4286.2352941176% of 102