What is 70.5 percent of 105.7 - 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 105.7 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 105.7 is 100%, so we can write it down as 105.7=100%.
4. We know, that x is 70.5% of the output value, so we can write it down as x=70.5%.
5. Now we have two simple equations:
1) 105.7=100%
2) x=70.5%
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:
105.7/x=100%/70.5%
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 70.5% of 105.7

105.7/x=100/70.5
(105.7/x)*x=(100/70.5)*x       - we multiply both sides of the equation by x
105.7=1.4184397163121*x       - we divide both sides of the equation by (1.4184397163121) to get x
105.7/1.4184397163121=x
74.5185=x
x=74.5185

now we have:
70.5% of 105.7=74.5185