4988.28 is what percent of 6752.4 - 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 6752.4 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 6752.4, so we can write it down as 100%=6752.4.
4. We know, that x% equals 4988.28 of the output value, so we can write it down as x%=4988.28.
5. Now we have two simple equations:
1) 100%=6752.4
2) x%=4988.28
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%=6752.4/4988.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4988.28 is what percent of 6752.4

100%/x%=6752.4/4988.28
(100/x)*x=(6752.4/4988.28)*x       - we multiply both sides of the equation by x
100=1.3536529625442*x       - we divide both sides of the equation by (1.3536529625442) to get x
100/1.3536529625442=x
73.87417807002=x
x=73.87417807002

now we have:
4988.28 is 73.87417807002% of 6752.4