167.51 is what percent of 284.01 - 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 284.01 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 284.01, so we can write it down as 100%=284.01.
4. We know, that x% equals 167.51 of the output value, so we can write it down as x%=167.51.
5. Now we have two simple equations:
1) 100%=284.01
2) x%=167.51
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%=284.01/167.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.51 is what percent of 284.01

100%/x%=284.01/167.51
(100/x)*x=(284.01/167.51)*x       - we multiply both sides of the equation by x
100=1.6954808668139*x       - we divide both sides of the equation by (1.6954808668139) to get x
100/1.6954808668139=x
58.980317594451=x
x=58.980317594451

now we have:
167.51 is 58.980317594451% of 284.01