4.56 is what percent of 316.42 - 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 316.42 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 316.42, so we can write it down as 100%=316.42.
4. We know, that x% equals 4.56 of the output value, so we can write it down as x%=4.56.
5. Now we have two simple equations:
1) 100%=316.42
2) x%=4.56
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%=316.42/4.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.56 is what percent of 316.42

100%/x%=316.42/4.56
(100/x)*x=(316.42/4.56)*x       - we multiply both sides of the equation by x
100=69.390350877193*x       - we divide both sides of the equation by (69.390350877193) to get x
100/69.390350877193=x
1.4411225586246=x
x=1.4411225586246

now we have:
4.56 is 1.4411225586246% of 316.42