What is 70.37 percent of 842.46 - 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 842.46 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 842.46 is 100%, so we can write it down as 842.46=100%.
4. We know, that x is 70.37% of the output value, so we can write it down as x=70.37%.
5. Now we have two simple equations:
1) 842.46=100%
2) x=70.37%
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:
842.46/x=100%/70.37%
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 70.37% of 842.46

842.46/x=100/70.37
(842.46/x)*x=(100/70.37)*x       - we multiply both sides of the equation by x
842.46=1.4210601108427*x       - we divide both sides of the equation by (1.4210601108427) to get x
842.46/1.4210601108427=x
592.839102=x
x=592.839102

now we have:
70.37% of 842.46=592.839102