63.33 is what percent of 1525 - 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 1525 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 1525, so we can write it down as 100%=1525.
4. We know, that x% equals 63.33 of the output value, so we can write it down as x%=63.33.
5. Now we have two simple equations:
1) 100%=1525
2) x%=63.33
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%=1525/63.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.33 is what percent of 1525

100%/x%=1525/63.33
(100/x)*x=(1525/63.33)*x       - we multiply both sides of the equation by x
100=24.080214748145*x       - we divide both sides of the equation by (24.080214748145) to get x
100/24.080214748145=x
4.1527868852459=x
x=4.1527868852459

now we have:
63.33 is 4.1527868852459% of 1525