7.71 is what percent of 179.8 - 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 179.8 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 179.8, so we can write it down as 100%=179.8.
4. We know, that x% equals 7.71 of the output value, so we can write it down as x%=7.71.
5. Now we have two simple equations:
1) 100%=179.8
2) x%=7.71
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%=179.8/7.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.71 is what percent of 179.8

100%/x%=179.8/7.71
(100/x)*x=(179.8/7.71)*x       - we multiply both sides of the equation by x
100=23.320363164721*x       - we divide both sides of the equation by (23.320363164721) to get x
100/23.320363164721=x
4.2880978865406=x
x=4.2880978865406

now we have:
7.71 is 4.2880978865406% of 179.8