121.84 is what percent of 675.65 - 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 675.65 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 675.65, so we can write it down as 100%=675.65.
4. We know, that x% equals 121.84 of the output value, so we can write it down as x%=121.84.
5. Now we have two simple equations:
1) 100%=675.65
2) x%=121.84
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%=675.65/121.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.84 is what percent of 675.65

100%/x%=675.65/121.84
(100/x)*x=(675.65/121.84)*x       - we multiply both sides of the equation by x
100=5.5453873933027*x       - we divide both sides of the equation by (5.5453873933027) to get x
100/5.5453873933027=x
18.0330052542=x
x=18.0330052542

now we have:
121.84 is 18.0330052542% of 675.65