19.6 is what percent of 349.96 - 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 349.96 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 349.96, so we can write it down as 100%=349.96.
4. We know, that x% equals 19.6 of the output value, so we can write it down as x%=19.6.
5. Now we have two simple equations:
1) 100%=349.96
2) x%=19.6
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%=349.96/19.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.6 is what percent of 349.96

100%/x%=349.96/19.6
(100/x)*x=(349.96/19.6)*x       - we multiply both sides of the equation by x
100=17.855102040816*x       - we divide both sides of the equation by (17.855102040816) to get x
100/17.855102040816=x
5.6006400731512=x
x=5.6006400731512

now we have:
19.6 is 5.6006400731512% of 349.96