What is 77.58 percent of 5300 - 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 5300 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 5300 is 100%, so we can write it down as 5300=100%.
4. We know, that x is 77.58% of the output value, so we can write it down as x=77.58%.
5. Now we have two simple equations:
1) 5300=100%
2) x=77.58%
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:
5300/x=100%/77.58%
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 77.58% of 5300

5300/x=100/77.58
(5300/x)*x=(100/77.58)*x       - we multiply both sides of the equation by x
5300=1.2889920082495*x       - we divide both sides of the equation by (1.2889920082495) to get x
5300/1.2889920082495=x
4111.74=x
x=4111.74

now we have:
77.58% of 5300=4111.74