56.25 is what percent of 80.25 - 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 80.25 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 80.25, so we can write it down as 100%=80.25.
4. We know, that x% equals 56.25 of the output value, so we can write it down as x%=56.25.
5. Now we have two simple equations:
1) 100%=80.25
2) x%=56.25
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%=80.25/56.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.25 is what percent of 80.25

100%/x%=80.25/56.25
(100/x)*x=(80.25/56.25)*x       - we multiply both sides of the equation by x
100=1.4266666666667*x       - we divide both sides of the equation by (1.4266666666667) to get x
100/1.4266666666667=x
70.093457943925=x
x=70.093457943925

now we have:
56.25 is 70.093457943925% of 80.25