20 is what percent of 3514 - 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 3514 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 3514, so we can write it down as 100%=3514.
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%=3514
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%=3514/20
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 3514

100%/x%=3514/20
(100/x)*x=(3514/20)*x       - we multiply both sides of the equation by x
100=175.7*x       - we divide both sides of the equation by (175.7) to get x
100/175.7=x
0.56915196357427=x
x=0.56915196357427

now we have:
20 is 0.56915196357427% of 3514