179.75 is what percent of 561.75 - 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 561.75 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 561.75, so we can write it down as 100%=561.75.
4. We know, that x% equals 179.75 of the output value, so we can write it down as x%=179.75.
5. Now we have two simple equations:
1) 100%=561.75
2) x%=179.75
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%=561.75/179.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.75 is what percent of 561.75

100%/x%=561.75/179.75
(100/x)*x=(561.75/179.75)*x       - we multiply both sides of the equation by x
100=3.125173852573*x       - we divide both sides of the equation by (3.125173852573) to get x
100/3.125173852573=x
31.998219848687=x
x=31.998219848687

now we have:
179.75 is 31.998219848687% of 561.75