19.62 is what percent of 237.79 - 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 237.79 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 237.79, so we can write it down as 100%=237.79.
4. We know, that x% equals 19.62 of the output value, so we can write it down as x%=19.62.
5. Now we have two simple equations:
1) 100%=237.79
2) x%=19.62
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%=237.79/19.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.62 is what percent of 237.79

100%/x%=237.79/19.62
(100/x)*x=(237.79/19.62)*x       - we multiply both sides of the equation by x
100=12.119775739042*x       - we divide both sides of the equation by (12.119775739042) to get x
100/12.119775739042=x
8.25097775348=x
x=8.25097775348

now we have:
19.62 is 8.25097775348% of 237.79