20 is what percent of 1532 - 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 1532 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 1532, so we can write it down as 100%=1532.
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%=1532
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%=1532/20
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 1532

100%/x%=1532/20
(100/x)*x=(1532/20)*x       - we multiply both sides of the equation by x
100=76.6*x       - we divide both sides of the equation by (76.6) to get x
100/76.6=x
1.3054830287206=x
x=1.3054830287206

now we have:
20 is 1.3054830287206% of 1532