48.67 is what percent of 490.6 - 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 490.6 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 490.6, so we can write it down as 100%=490.6.
4. We know, that x% equals 48.67 of the output value, so we can write it down as x%=48.67.
5. Now we have two simple equations:
1) 100%=490.6
2) x%=48.67
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%=490.6/48.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.67 is what percent of 490.6

100%/x%=490.6/48.67
(100/x)*x=(490.6/48.67)*x       - we multiply both sides of the equation by x
100=10.080131497843*x       - we divide both sides of the equation by (10.080131497843) to get x
100/10.080131497843=x
9.9205055034651=x
x=9.9205055034651

now we have:
48.67 is 9.9205055034651% of 490.6