What is 70.2 percent of 46.63 - 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 46.63 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 46.63 is 100%, so we can write it down as 46.63=100%.
4. We know, that x is 70.2% of the output value, so we can write it down as x=70.2%.
5. Now we have two simple equations:
1) 46.63=100%
2) x=70.2%
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:
46.63/x=100%/70.2%
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 70.2% of 46.63

46.63/x=100/70.2
(46.63/x)*x=(100/70.2)*x       - we multiply both sides of the equation by x
46.63=1.4245014245014*x       - we divide both sides of the equation by (1.4245014245014) to get x
46.63/1.4245014245014=x
32.73426=x
x=32.73426

now we have:
70.2% of 46.63=32.73426