75.02 is what percent of 2553.8 - 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 2553.8 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 2553.8, so we can write it down as 100%=2553.8.
4. We know, that x% equals 75.02 of the output value, so we can write it down as x%=75.02.
5. Now we have two simple equations:
1) 100%=2553.8
2) x%=75.02
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%=2553.8/75.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.02 is what percent of 2553.8

100%/x%=2553.8/75.02
(100/x)*x=(2553.8/75.02)*x       - we multiply both sides of the equation by x
100=34.041588909624*x       - we divide both sides of the equation by (34.041588909624) to get x
100/34.041588909624=x
2.9375832093351=x
x=2.9375832093351

now we have:
75.02 is 2.9375832093351% of 2553.8