What is 87.9 percent of 496 - 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 496 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 496 is 100%, so we can write it down as 496=100%.
4. We know, that x is 87.9% of the output value, so we can write it down as x=87.9%.
5. Now we have two simple equations:
1) 496=100%
2) x=87.9%
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:
496/x=100%/87.9%
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 87.9% of 496

496/x=100/87.9
(496/x)*x=(100/87.9)*x       - we multiply both sides of the equation by x
496=1.1376564277588*x       - we divide both sides of the equation by (1.1376564277588) to get x
496/1.1376564277588=x
435.984=x
x=435.984

now we have:
87.9% of 496=435.984