What is 70.35 percent of 493.75 - 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 493.75 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 493.75 is 100%, so we can write it down as 493.75=100%.
4. We know, that x is 70.35% of the output value, so we can write it down as x=70.35%.
5. Now we have two simple equations:
1) 493.75=100%
2) x=70.35%
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:
493.75/x=100%/70.35%
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 70.35% of 493.75

493.75/x=100/70.35
(493.75/x)*x=(100/70.35)*x       - we multiply both sides of the equation by x
493.75=1.4214641080313*x       - we divide both sides of the equation by (1.4214641080313) to get x
493.75/1.4214641080313=x
347.353125=x
x=347.353125

now we have:
70.35% of 493.75=347.353125