19.8 is what percent of 131.8 - 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 131.8 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 131.8, so we can write it down as 100%=131.8.
4. We know, that x% equals 19.8 of the output value, so we can write it down as x%=19.8.
5. Now we have two simple equations:
1) 100%=131.8
2) x%=19.8
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%=131.8/19.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.8 is what percent of 131.8

100%/x%=131.8/19.8
(100/x)*x=(131.8/19.8)*x       - we multiply both sides of the equation by x
100=6.6565656565657*x       - we divide both sides of the equation by (6.6565656565657) to get x
100/6.6565656565657=x
15.022761760243=x
x=15.022761760243

now we have:
19.8 is 15.022761760243% of 131.8