63 is what percent of 1460 - 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 1460 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 1460, so we can write it down as 100%=1460.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=1460
2) x%=63
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%=1460/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 1460

100%/x%=1460/63
(100/x)*x=(1460/63)*x       - we multiply both sides of the equation by x
100=23.174603174603*x       - we divide both sides of the equation by (23.174603174603) to get x
100/23.174603174603=x
4.3150684931507=x
x=4.3150684931507

now we have:
63 is 4.3150684931507% of 1460