What is 8.7514585764294 percent of 64.99 - 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 64.99 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 64.99 is 100%, so we can write it down as 64.99=100%.
4. We know, that x is 8.7514585764294% of the output value, so we can write it down as x=8.7514585764294%.
5. Now we have two simple equations:
1) 64.99=100%
2) x=8.7514585764294%
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:
64.99/x=100%/8.7514585764294%
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 8.7514585764294% of 64.99

64.99/x=100/8.7514585764294
(64.99/x)*x=(100/8.7514585764294)*x       - we multiply both sides of the equation by x
64.99=11.426666666667*x       - we divide both sides of the equation by (11.426666666667) to get x
64.99/11.426666666667=x
5.6875729288215=x
x=5.6875729288215

now we have:
8.7514585764294% of 64.99=5.6875729288215