What is 64.98 percent of 84.99 - 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 84.99 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 84.99 is 100%, so we can write it down as 84.99=100%.
4. We know, that x is 64.98% of the output value, so we can write it down as x=64.98%.
5. Now we have two simple equations:
1) 84.99=100%
2) x=64.98%
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:
84.99/x=100%/64.98%
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 64.98% of 84.99

84.99/x=100/64.98
(84.99/x)*x=(100/64.98)*x       - we multiply both sides of the equation by x
84.99=1.5389350569406*x       - we divide both sides of the equation by (1.5389350569406) to get x
84.99/1.5389350569406=x
55.226502=x
x=55.226502

now we have:
64.98% of 84.99=55.226502