182.44 is what percent of 4988 - 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 4988 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 4988, so we can write it down as 100%=4988.
4. We know, that x% equals 182.44 of the output value, so we can write it down as x%=182.44.
5. Now we have two simple equations:
1) 100%=4988
2) x%=182.44
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%=4988/182.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 182.44 is what percent of 4988

100%/x%=4988/182.44
(100/x)*x=(4988/182.44)*x       - we multiply both sides of the equation by x
100=27.340495505372*x       - we divide both sides of the equation by (27.340495505372) to get x
100/27.340495505372=x
3.6575781876504=x
x=3.6575781876504

now we have:
182.44 is 3.6575781876504% of 4988