152.61 is what percent of 305.21 - 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 305.21 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 305.21, so we can write it down as 100%=305.21.
4. We know, that x% equals 152.61 of the output value, so we can write it down as x%=152.61.
5. Now we have two simple equations:
1) 100%=305.21
2) x%=152.61
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%=305.21/152.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.61 is what percent of 305.21

100%/x%=305.21/152.61
(100/x)*x=(305.21/152.61)*x       - we multiply both sides of the equation by x
100=1.9999344734945*x       - we divide both sides of the equation by (1.9999344734945) to get x
100/1.9999344734945=x
50.00163821631=x
x=50.00163821631

now we have:
152.61 is 50.00163821631% of 305.21