What is 59.7 percent of 7500 - 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 7500 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 7500 is 100%, so we can write it down as 7500=100%.
4. We know, that x is 59.7% of the output value, so we can write it down as x=59.7%.
5. Now we have two simple equations:
1) 7500=100%
2) x=59.7%
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:
7500/x=100%/59.7%
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 59.7% of 7500

7500/x=100/59.7
(7500/x)*x=(100/59.7)*x       - we multiply both sides of the equation by x
7500=1.6750418760469*x       - we divide both sides of the equation by (1.6750418760469) to get x
7500/1.6750418760469=x
4477.5=x
x=4477.5

now we have:
59.7% of 7500=4477.5