2615.38 is what percent of 4.752 - 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 4.752 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 4.752, so we can write it down as 100%=4.752.
4. We know, that x% equals 2615.38 of the output value, so we can write it down as x%=2615.38.
5. Now we have two simple equations:
1) 100%=4.752
2) x%=2615.38
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%=4.752/2615.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2615.38 is what percent of 4.752

100%/x%=4.752/2615.38
(100/x)*x=(4.752/2615.38)*x       - we multiply both sides of the equation by x
100=0.001816944382843*x       - we divide both sides of the equation by (0.001816944382843) to get x
100/0.001816944382843=x
55037.457912458=x
x=55037.457912458

now we have:
2615.38 is 55037.457912458% of 4.752