What is 98.4375 percent of 510 - 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 510 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 510 is 100%, so we can write it down as 510=100%.
4. We know, that x is 98.4375% of the output value, so we can write it down as x=98.4375%.
5. Now we have two simple equations:
1) 510=100%
2) x=98.4375%
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:
510/x=100%/98.4375%
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 98.4375% of 510

510/x=100/98.4375
(510/x)*x=(100/98.4375)*x       - we multiply both sides of the equation by x
510=1.015873015873*x       - we divide both sides of the equation by (1.015873015873) to get x
510/1.015873015873=x
502.03125=x
x=502.03125

now we have:
98.4375% of 510=502.03125