What is 70 percent of 707.42 - 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 707.42 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 707.42 is 100%, so we can write it down as 707.42=100%.
4. We know, that x is 70% of the output value, so we can write it down as x=70%.
5. Now we have two simple equations:
1) 707.42=100%
2) x=70%
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:
707.42/x=100%/70%
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% of 707.42

707.42/x=100/70
(707.42/x)*x=(100/70)*x       - we multiply both sides of the equation by x
707.42=1.4285714285714*x       - we divide both sides of the equation by (1.4285714285714) to get x
707.42/1.4285714285714=x
495.194=x
x=495.194

now we have:
70% of 707.42=495.194