433.6 is what percent of 152.5 - 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 152.5 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 152.5, so we can write it down as 100%=152.5.
4. We know, that x% equals 433.6 of the output value, so we can write it down as x%=433.6.
5. Now we have two simple equations:
1) 100%=152.5
2) x%=433.6
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%=152.5/433.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 433.6 is what percent of 152.5

100%/x%=152.5/433.6
(100/x)*x=(152.5/433.6)*x       - we multiply both sides of the equation by x
100=0.351706642066*x       - we divide both sides of the equation by (0.351706642066) to get x
100/0.351706642066=x
284.327868852=x
x=284.327868852

now we have:
433.6 is 284.327868852% of 152.5