What is 1.458 percent of 5738.5 - 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 5738.5 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 5738.5 is 100%, so we can write it down as 5738.5=100%.
4. We know, that x is 1.458% of the output value, so we can write it down as x=1.458%.
5. Now we have two simple equations:
1) 5738.5=100%
2) x=1.458%
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:
5738.5/x=100%/1.458%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.458% of 5738.5

5738.5/x=100/1.458
(5738.5/x)*x=(100/1.458)*x       - we multiply both sides of the equation by x
5738.5=68.587105624143*x       - we divide both sides of the equation by (68.587105624143) to get x
5738.5/68.587105624143=x
83.66733=x
x=83.66733

now we have:
1.458% of 5738.5=83.66733