20.7 is what percent of 332.5 - 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 332.5 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 332.5, so we can write it down as 100%=332.5.
4. We know, that x% equals 20.7 of the output value, so we can write it down as x%=20.7.
5. Now we have two simple equations:
1) 100%=332.5
2) x%=20.7
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%=332.5/20.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.7 is what percent of 332.5

100%/x%=332.5/20.7
(100/x)*x=(332.5/20.7)*x       - we multiply both sides of the equation by x
100=16.062801932367*x       - we divide both sides of the equation by (16.062801932367) to get x
100/16.062801932367=x
6.2255639097744=x
x=6.2255639097744

now we have:
20.7 is 6.2255639097744% of 332.5