633.5 is what percent of 1490.53 - 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 1490.53 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 1490.53, so we can write it down as 100%=1490.53.
4. We know, that x% equals 633.5 of the output value, so we can write it down as x%=633.5.
5. Now we have two simple equations:
1) 100%=1490.53
2) x%=633.5
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%=1490.53/633.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 633.5 is what percent of 1490.53

100%/x%=1490.53/633.5
(100/x)*x=(1490.53/633.5)*x       - we multiply both sides of the equation by x
100=2.3528492501973*x       - we divide both sides of the equation by (2.3528492501973) to get x
100/2.3528492501973=x
42.501660483184=x
x=42.501660483184

now we have:
633.5 is 42.501660483184% of 1490.53