19.7 is what percent of 56.5 - 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 56.5 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 56.5, so we can write it down as 100%=56.5.
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%=56.5
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%=56.5/19.7
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 56.5

100%/x%=56.5/19.7
(100/x)*x=(56.5/19.7)*x       - we multiply both sides of the equation by x
100=2.8680203045685*x       - we divide both sides of the equation by (2.8680203045685) to get x
100/2.8680203045685=x
34.867256637168=x
x=34.867256637168

now we have:
19.7 is 34.867256637168% of 56.5