179.31 is what percent of 4134.82 - 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 4134.82 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 4134.82, so we can write it down as 100%=4134.82.
4. We know, that x% equals 179.31 of the output value, so we can write it down as x%=179.31.
5. Now we have two simple equations:
1) 100%=4134.82
2) x%=179.31
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%=4134.82/179.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.31 is what percent of 4134.82

100%/x%=4134.82/179.31
(100/x)*x=(4134.82/179.31)*x       - we multiply both sides of the equation by x
100=23.059617422341*x       - we divide both sides of the equation by (23.059617422341) to get x
100/23.059617422341=x
4.3365853894486=x
x=4.3365853894486

now we have:
179.31 is 4.3365853894486% of 4134.82