4.58 is what percent of 45.91 - 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 45.91 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 45.91, so we can write it down as 100%=45.91.
4. We know, that x% equals 4.58 of the output value, so we can write it down as x%=4.58.
5. Now we have two simple equations:
1) 100%=45.91
2) x%=4.58
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%=45.91/4.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.58 is what percent of 45.91

100%/x%=45.91/4.58
(100/x)*x=(45.91/4.58)*x       - we multiply both sides of the equation by x
100=10.024017467249*x       - we divide both sides of the equation by (10.024017467249) to get x
100/10.024017467249=x
9.9760400784143=x
x=9.9760400784143

now we have:
4.58 is 9.9760400784143% of 45.91