76.13 is what percent of 257.2 - 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 257.2 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 257.2, so we can write it down as 100%=257.2.
4. We know, that x% equals 76.13 of the output value, so we can write it down as x%=76.13.
5. Now we have two simple equations:
1) 100%=257.2
2) x%=76.13
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%=257.2/76.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.13 is what percent of 257.2

100%/x%=257.2/76.13
(100/x)*x=(257.2/76.13)*x       - we multiply both sides of the equation by x
100=3.3784316301064*x       - we divide both sides of the equation by (3.3784316301064) to get x
100/3.3784316301064=x
29.599533437014=x
x=29.599533437014

now we have:
76.13 is 29.599533437014% of 257.2