1.52 is what percent of 3.63 - 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 3.63 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 3.63, so we can write it down as 100%=3.63.
4. We know, that x% equals 1.52 of the output value, so we can write it down as x%=1.52.
5. Now we have two simple equations:
1) 100%=3.63
2) x%=1.52
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%=3.63/1.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.52 is what percent of 3.63

100%/x%=3.63/1.52
(100/x)*x=(3.63/1.52)*x       - we multiply both sides of the equation by x
100=2.3881578947368*x       - we divide both sides of the equation by (2.3881578947368) to get x
100/2.3881578947368=x
41.873278236915=x
x=41.873278236915

now we have:
1.52 is 41.873278236915% of 3.63