70.86 is what percent of 74.01 - 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 74.01 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 74.01, so we can write it down as 100%=74.01.
4. We know, that x% equals 70.86 of the output value, so we can write it down as x%=70.86.
5. Now we have two simple equations:
1) 100%=74.01
2) x%=70.86
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%=74.01/70.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.86 is what percent of 74.01

100%/x%=74.01/70.86
(100/x)*x=(74.01/70.86)*x       - we multiply both sides of the equation by x
100=1.0444538526672*x       - we divide both sides of the equation by (1.0444538526672) to get x
100/1.0444538526672=x
95.743818402919=x
x=95.743818402919

now we have:
70.86 is 95.743818402919% of 74.01