95 is what percent of 70.01 - 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 70.01 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 70.01, so we can write it down as 100%=70.01.
4. We know, that x% equals 95 of the output value, so we can write it down as x%=95.
5. Now we have two simple equations:
1) 100%=70.01
2) x%=95
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%=70.01/95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95 is what percent of 70.01

100%/x%=70.01/95
(100/x)*x=(70.01/95)*x       - we multiply both sides of the equation by x
100=0.73694736842105*x       - we divide both sides of the equation by (0.73694736842105) to get x
100/0.73694736842105=x
135.69490072847=x
x=135.69490072847

now we have:
95 is 135.69490072847% of 70.01