70 is what percent of 83.35 - 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 83.35 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 83.35, so we can write it down as 100%=83.35.
4. We know, that x% equals 70 of the output value, so we can write it down as x%=70.
5. Now we have two simple equations:
1) 100%=83.35
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:
100%/x%=83.35/70
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70 is what percent of 83.35

100%/x%=83.35/70
(100/x)*x=(83.35/70)*x       - we multiply both sides of the equation by x
100=1.1907142857143*x       - we divide both sides of the equation by (1.1907142857143) to get x
100/1.1907142857143=x
83.983203359328=x
x=83.983203359328

now we have:
70 is 83.983203359328% of 83.35