1179.79 is what percent of 1558.65 - 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 1558.65 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 1558.65, so we can write it down as 100%=1558.65.
4. We know, that x% equals 1179.79 of the output value, so we can write it down as x%=1179.79.
5. Now we have two simple equations:
1) 100%=1558.65
2) x%=1179.79
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%=1558.65/1179.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1179.79 is what percent of 1558.65

100%/x%=1558.65/1179.79
(100/x)*x=(1558.65/1179.79)*x       - we multiply both sides of the equation by x
100=1.321124945965*x       - we divide both sides of the equation by (1.321124945965) to get x
100/1.321124945965=x
75.693067718859=x
x=75.693067718859

now we have:
1179.79 is 75.693067718859% of 1558.65