283.02 is what percent of 380.63 - 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 380.63 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 380.63, so we can write it down as 100%=380.63.
4. We know, that x% equals 283.02 of the output value, so we can write it down as x%=283.02.
5. Now we have two simple equations:
1) 100%=380.63
2) x%=283.02
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%=380.63/283.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 283.02 is what percent of 380.63

100%/x%=380.63/283.02
(100/x)*x=(380.63/283.02)*x       - we multiply both sides of the equation by x
100=1.3448872871175*x       - we divide both sides of the equation by (1.3448872871175) to get x
100/1.3448872871175=x
74.35567348869=x
x=74.35567348869

now we have:
283.02 is 74.35567348869% of 380.63