70.67 is what percent of 180.67 - 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 180.67 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 100% equals 180.67, so we can write it down as 100%=180.67.
4. We know, that x% equals 70.67 of the output value, so we can write it down as x%=70.67.
5. Now we have two simple equations:
1) 100%=180.67
2) x%=70.67
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:
100%/x%=180.67/70.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.67 is what percent of 180.67

100%/x%=180.67/70.67
(100/x)*x=(180.67/70.67)*x       - we multiply both sides of the equation by x
100=2.5565303523419*x       - we divide both sides of the equation by (2.5565303523419) to get x
100/2.5565303523419=x
39.115514473903=x
x=39.115514473903

now we have:
70.67 is 39.115514473903% of 180.67