What is 52.02 percent of 587.97 - 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 587.97 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 587.97 is 100%, so we can write it down as 587.97=100%.
4. We know, that x is 52.02% of the output value, so we can write it down as x=52.02%.
5. Now we have two simple equations:
1) 587.97=100%
2) x=52.02%
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:
587.97/x=100%/52.02%
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 52.02% of 587.97

587.97/x=100/52.02
(587.97/x)*x=(100/52.02)*x       - we multiply both sides of the equation by x
587.97=1.922337562476*x       - we divide both sides of the equation by (1.922337562476) to get x
587.97/1.922337562476=x
305.861994=x
x=305.861994

now we have:
52.02% of 587.97=305.861994