58.44 is what percent of 1457.7 - 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 1457.7 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 1457.7, so we can write it down as 100%=1457.7.
4. We know, that x% equals 58.44 of the output value, so we can write it down as x%=58.44.
5. Now we have two simple equations:
1) 100%=1457.7
2) x%=58.44
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%=1457.7/58.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.44 is what percent of 1457.7

100%/x%=1457.7/58.44
(100/x)*x=(1457.7/58.44)*x       - we multiply both sides of the equation by x
100=24.943531827515*x       - we divide both sides of the equation by (24.943531827515) to get x
100/24.943531827515=x
4.0090553611854=x
x=4.0090553611854

now we have:
58.44 is 4.0090553611854% of 1457.7