19.7 is what percent of 334.5 - 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 334.5 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 334.5, so we can write it down as 100%=334.5.
4. We know, that x% equals 19.7 of the output value, so we can write it down as x%=19.7.
5. Now we have two simple equations:
1) 100%=334.5
2) x%=19.7
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%=334.5/19.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.7 is what percent of 334.5

100%/x%=334.5/19.7
(100/x)*x=(334.5/19.7)*x       - we multiply both sides of the equation by x
100=16.979695431472*x       - we divide both sides of the equation by (16.979695431472) to get x
100/16.979695431472=x
5.8893871449925=x
x=5.8893871449925

now we have:
19.7 is 5.8893871449925% of 334.5