20 is what percent of 3560 - 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 3560 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 3560, so we can write it down as 100%=3560.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=3560
2) x%=20
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%=3560/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 3560

100%/x%=3560/20
(100/x)*x=(3560/20)*x       - we multiply both sides of the equation by x
100=178*x       - we divide both sides of the equation by (178) to get x
100/178=x
0.56179775280899=x
x=0.56179775280899

now we have:
20 is 0.56179775280899% of 3560